61532856 has 144 divisors (see below), whose sum is σ = 209554800. Its totient is φ = 15966720.

The previous prime is 61532837. The next prime is 61532857. The reversal of 61532856 is 65823516.

61532856 is a `hidden beast` number, since 615 + 32 + 8 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61532856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61532857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60480 + ... + 61488.

Almost surely, 2^61532856 is an apocalyptic number.

61532856 is a gapful number since it is divisible by the number (66) 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 61532856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104777400).

61532856 is an abundant number, since it is smaller than the sum of its proper divisors (148021944).

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

61532856 is a wasteful number, since it uses less digits than its factorization.

61532856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1032 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 61532856 is about 7844.2881130157. The cubic root of 61532856 is about 394.7926188018.

It can be divided in two parts, 6153 and 2856, that added together give a palindrome (9009).

The spelling of 61532856 in words is "sixty-one million, five hundred thirty-two thousand, eight hundred fifty-six".