54971136 has 180 divisors, whose sum is σ = 179557224. Its totient is φ = 16588800.

The previous prime is 54971131. The next prime is 54971167. The reversal of 54971136 is 63117945.

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

Its product of digits (22680) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 54971136.

It is not an unprimeable number, because it can be changed into a prime (54971131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227976 + ... + 228216.

Almost surely, 2^54971136 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 54971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89778612).

54971136 is an abundant number, since it is smaller than the sum of its proper divisors (124586088).

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

54971136 is a wasteful number, since it uses less digits than its factorization.

54971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 54971136 is about 7414.2522212291. The cubic root of 54971136 is about 380.2287081200.

The spelling of 54971136 in words is "fifty-four million, nine hundred seventy-one thousand, one hundred thirty-six".