53963952 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 14287104.

The previous prime is 53963909. The next prime is 53963953. The reversal of 53963952 is 25936935.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53963953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504283 + ... + 504389.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^53963952 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 53963952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

53963952 is an abundant number, since it is smaller than the sum of its proper divisors (117453648).

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

53963952 is a wasteful number, since it uses less digits than its factorization.

53963952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 218700, while the sum is 42.

The square root of 53963952 is about 7346.0160631461. The cubic root of 53963952 is about 377.8921895166.

The spelling of 53963952 in words is "fifty-three million, nine hundred sixty-three thousand, nine hundred fifty-two".