53768832 has 64 divisors (see below), whose sum is σ = 153824160. Its totient is φ = 16542720.

The previous prime is 53768831. The next prime is 53768833. The reversal of 53768832 is 23886735.

It is an interprime number because it is at equal distance from previous prime (53768831) and next prime (53768833).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (53768831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 10377.

Almost surely, 2^53768832 is an apocalyptic number.

53768832 is a gapful number since it is divisible by the number (52) 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 53768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76912080).

53768832 is an abundant number, since it is smaller than the sum of its proper divisors (100055328).

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

53768832 is a wasteful number, since it uses less digits than its factorization.

53768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10789 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 53768832 is about 7332.7233685719. The cubic root of 53768832 is about 377.4361852863.

The spelling of 53768832 in words is "fifty-three million, seven hundred sixty-eight thousand, eight hundred thirty-two".