53923632 has 120 divisors (see below), whose sum is σ = 165489408. Its totient is φ = 14820480.

The previous prime is 53923603. The next prime is 53923697. The reversal of 53923632 is 23632935.

53923632 = T₃₉₃ + T₃₉₄ + ... + T₇₂₆.

It is a junction number, because it is equal to n+sod(n) for n = 53923593 and 53923602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322813 + ... + 322979.

Almost surely, 2^53923632 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 53923632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82744704).

53923632 is an abundant number, since it is smaller than the sum of its proper divisors (111565776).

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

53923632 is a wasteful number, since it uses less digits than its factorization.

53923632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its digits is 29160, while the sum is 33.

The square root of 53923632 is about 7343.2712056685. The cubic root of 53923632 is about 377.7980500719.

The spelling of 53923632 in words is "fifty-three million, nine hundred twenty-three thousand, six hundred thirty-two".