61538832 has 80 divisors (see below), whose sum is σ = 177905280. Its totient is φ = 20366208.

The previous prime is 61538809. The next prime is 61538879. The reversal of 61538832 is 23883516.

61538832 is a `hidden beast` number, since 615 + 3 + 8 + 8 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71718 + ... + 72570.

It is an arithmetic number, because the mean of its divisors is an integer number (2223816).

Almost surely, 2^61538832 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 61538832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88952640).

61538832 is an abundant number, since it is smaller than the sum of its proper divisors (116366448).

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

61538832 is a wasteful number, since it uses less digits than its factorization.

61538832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61538832 is about 7844.6690178745. The cubic root of 61538832 is about 394.8053989894.

The spelling of 61538832 in words is "sixty-one million, five hundred thirty-eight thousand, eight hundred thirty-two".