61312900 has 72 divisors (see below), whose sum is σ = 146553120. Its totient is φ = 22080000.

The previous prime is 61312879. The next prime is 61312903. The reversal of 61312900 is 921316.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (61312903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152700 + ... + 153100.

It is an arithmetic number, because the mean of its divisors is an integer number (2035460).

Almost surely, 2^61312900 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 61312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276560).

61312900 is an abundant number, since it is smaller than the sum of its proper divisors (85240220).

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

61312900 is a wasteful number, since it uses less digits than its factorization.

61312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61312900 is about 7830.2554236755. The cubic root of 61312900 is about 394.3216472138.

The spelling of 61312900 in words is "sixty-one million, three hundred twelve thousand, nine hundred".