61295328 has 144 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 19138560.

The previous prime is 61295327. The next prime is 61295329. The reversal of 61295328 is 82359216.

61295328 is a `hidden beast` number, since 612 + 9 + 5 + 32 + 8 = 666.

61295328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61295327) and next prime (61295329).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61295292 and 61295301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61295321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342343 + ... + 342521.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^61295328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

61295328 is an abundant number, since it is smaller than the sum of its proper divisors (124453872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61295328 is a wasteful number, since it uses less digits than its factorization.

61295328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61295328 is about 7829.1332853644. The cubic root of 61295328 is about 394.2839733473.

The spelling of 61295328 in words is "sixty-one million, two hundred ninety-five thousand, three hundred twenty-eight".