61634944 has 96 divisors (see below), whose sum is σ = 147908160. Its totient is φ = 25482240.

The previous prime is 61634929. The next prime is 61634957. The reversal of 61634944 is 44943616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194274 + ... + 194590.

It is an arithmetic number, because the mean of its divisors is an integer number (1540710).

Almost surely, 2^61634944 is an apocalyptic number.

61634944 is a gapful number since it is divisible by the number (64) 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 61634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73954080).

61634944 is an abundant number, since it is smaller than the sum of its proper divisors (86273216).

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

61634944 is a wasteful number, since it uses less digits than its factorization.

61634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 61634944 is about 7850.7925714542. The cubic root of 61634944 is about 395.0108291642.

The spelling of 61634944 in words is "sixty-one million, six hundred thirty-four thousand, nine hundred forty-four".