54951936 has 128 divisors (see below), whose sum is σ = 161478240. Its totient is φ = 16515072.

The previous prime is 54951917. The next prime is 54951959. The reversal of 54951936 is 63915945.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277931 + ... + 1277973.

Almost surely, 2^54951936 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 54951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80739120).

54951936 is an abundant number, since it is smaller than the sum of its proper divisors (106526304).

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

54951936 is an equidigital number, since it uses as much as digits as its factorization.

54951936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 54951936 is about 7412.9573046120. The cubic root of 54951936 is about 380.1844349381.

The spelling of 54951936 in words is "fifty-four million, nine hundred fifty-one thousand, nine hundred thirty-six".