61524632 has 96 divisors (see below), whose sum is σ = 139255200. Its totient is φ = 25276416.

The previous prime is 61524613. The next prime is 61524653. The reversal of 61524632 is 23642516.

61524632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8640) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 61524595 and 61524604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691244 + ... + 691332.

It is an arithmetic number, because the mean of its divisors is an integer number (1450575).

Almost surely, 2^61524632 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 61524632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69627600).

61524632 is an abundant number, since it is smaller than the sum of its proper divisors (77730568).

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

61524632 is a wasteful number, since it uses less digits than its factorization.

61524632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 61524632 is about 7843.7638924180. The cubic root of 61524632 is about 394.7750297209.

The spelling of 61524632 in words is "sixty-one million, five hundred twenty-four thousand, six hundred thirty-two".