61633264 has 80 divisors (see below), whose sum is σ = 156775680. Its totient is φ = 22740480.

The previous prime is 61633249. The next prime is 61633267. The reversal of 61633264 is 46233616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61633267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22092 + ... + 24724.

It is an arithmetic number, because the mean of its divisors is an integer number (1959696).

Almost surely, 2^61633264 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 61633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387840).

61633264 is an abundant number, since it is smaller than the sum of its proper divisors (95142416).

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

61633264 is a wasteful number, since it uses less digits than its factorization.

61633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2672 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 61633264 is about 7850.6855751584. The cubic root of 61633264 is about 395.0072401600.

The spelling of 61633264 in words is "sixty-one million, six hundred thirty-three thousand, two hundred sixty-four".