61961328 has 320 divisors, whose sum is σ = 224985600. Its totient is φ = 16035840.

The previous prime is 61961303. The next prime is 61961351. The reversal of 61961328 is 82316916.

61961328 is a `hidden beast` number, since 6 + 19 + 613 + 28 = 666.

61961328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61961292 and 61961301.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1050163 + ... + 1050221.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^61961328 is an apocalyptic number.

61961328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

61961328 is an abundant number, since it is smaller than the sum of its proper divisors (163024272).

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

61961328 is a wasteful number, since it uses less digits than its factorization.

61961328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61961328 is about 7871.5518165099. The cubic root of 61961328 is about 395.7068537537.

The spelling of 61961328 in words is "sixty-one million, nine hundred sixty-one thousand, three hundred twenty-eight".