61952832 has 84 divisors (see below), whose sum is σ = 180685440. Its totient is φ = 20289792.

The previous prime is 61952819. The next prime is 61952843. The reversal of 61952832 is 23825916.

61952832 is a `hidden beast` number, since 619 + 5 + 2 + 8 + 32 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33073 + ... + 34895.

Almost surely, 2^61952832 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 61952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

61952832 is an abundant number, since it is smaller than the sum of its proper divisors (118732608).

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

61952832 is a wasteful number, since it uses less digits than its factorization.

61952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1887 counting only the distinct ones).

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

The square root of 61952832 is about 7871.0121331376. The cubic root of 61952832 is about 395.6887667780.

The spelling of 61952832 in words is "sixty-one million, nine hundred fifty-two thousand, eight hundred thirty-two".