53960832 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 17395200.

The previous prime is 53960827. The next prime is 53960857. The reversal of 53960832 is 23806935.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34957 + ... + 36467.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^53960832 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 53960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

53960832 is an abundant number, since it is smaller than the sum of its proper divisors (106432128).

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

53960832 is a wasteful number, since it uses less digits than its factorization.

53960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53960832 is about 7345.8037000726. The cubic root of 53960832 is about 377.8849065909.

The spelling of 53960832 in words is "fifty-three million, nine hundred sixty thousand, eight hundred thirty-two".