54935712 has 192 divisors, whose sum is σ = 177528960. Its totient is φ = 16422912.

The previous prime is 54935701. The next prime is 54935717. The reversal of 54935712 is 21753945.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54935717) 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, 752508 + ... + 752580.

It is an arithmetic number, because the mean of its divisors is an integer number (924630).

Almost surely, 2^54935712 is an apocalyptic number.

54935712 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 54935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88764480).

54935712 is an abundant number, since it is smaller than the sum of its proper divisors (122593248).

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

54935712 is a wasteful number, since it uses less digits than its factorization.

54935712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 54935712 is about 7411.8629237190. The cubic root of 54935712 is about 380.1470160600.

The spelling of 54935712 in words is "fifty-four million, nine hundred thirty-five thousand, seven hundred twelve".