55627264 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 20152320.

The previous prime is 55627261. The next prime is 55627277. The reversal of 55627264 is 46272655.

Its product of digits (100800) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55627261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670167 + ... + 670249.

Almost surely, 2^55627264 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 55627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

55627264 is an abundant number, since it is smaller than the sum of its proper divisors (92863232).

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

55627264 is a wasteful number, since it uses less digits than its factorization.

55627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 55627264 is about 7458.3687224486. The cubic root of 55627264 is about 381.7355149556.

The spelling of 55627264 in words is "fifty-five million, six hundred twenty-seven thousand, two hundred sixty-four".