61297632 has 108 divisors (see below), whose sum is σ = 191711520. Its totient is φ = 18564480.

The previous prime is 61297573. The next prime is 61297679. The reversal of 61297632 is 23679216.

61297632 is a `hidden beast` number, since 6 + 12 + 9 + 7 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33969 + ... + 35727.

Almost surely, 2^61297632 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 61297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855760).

61297632 is an abundant number, since it is smaller than the sum of its proper divisors (130413888).

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

61297632 is a wasteful number, since it uses less digits than its factorization.

61297632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1775 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 61297632 is about 7829.2804267059. The cubic root of 61297632 is about 394.2889134676.

The spelling of 61297632 in words is "sixty-one million, two hundred ninety-seven thousand, six hundred thirty-two".