61295400 has 96 divisors (see below), whose sum is σ = 211147200. Its totient is φ = 16344000.

The previous prime is 61295393. The next prime is 61295411. The reversal of 61295400 is 459216.

61295400 is a `hidden beast` number, since 612 + 9 + 5 + 40 + 0 = 666.

61295400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61295400² = 7514252122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 276 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (2199450).

Almost surely, 2^61295400 is an apocalyptic number.

61295400 is a gapful number since it is divisible by the number (60) 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 61295400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105573600).

61295400 is an abundant number, since it is smaller than the sum of its proper divisors (149851800).

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

61295400 is a wasteful number, since it uses less digits than its factorization.

61295400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61295400 is about 7829.1378835731. The cubic root of 61295400 is about 394.2841277279.

The spelling of 61295400 in words is "sixty-one million, two hundred ninety-five thousand, four hundred".