61632564 has 48 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 17506656.

The previous prime is 61632551. The next prime is 61632577. The reversal of 61632564 is 46523616.

It is an interprime number because it is at equal distance from previous prime (61632551) and next prime (61632577).

It is a congruent number.

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, 12987 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (3444000).

Almost surely, 2^61632564 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 61632564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

61632564 is an abundant number, since it is smaller than the sum of its proper divisors (103679436).

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

61632564 is a wasteful number, since it uses less digits than its factorization.

61632564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4290 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 61632564 is about 7850.6409929381. The cubic root of 61632564 is about 395.0057447223.

The spelling of 61632564 in words is "sixty-one million, six hundred thirty-two thousand, five hundred sixty-four".