55972638 has 48 divisors (see below), whose sum is σ = 125436480. Its totient is φ = 18024768.

The previous prime is 55972597. The next prime is 55972643. The reversal of 55972638 is 83627955.

It is a happy number.

55972638 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 2 + 638 = 666.

55972638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55972593 and 55972602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152331 + ... + 152697.

It is an arithmetic number, because the mean of its divisors is an integer number (2613260).

Almost surely, 2^55972638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55972638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62718240).

55972638 is an abundant number, since it is smaller than the sum of its proper divisors (69463842).

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

55972638 is a wasteful number, since it uses less digits than its factorization.

55972638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55972638 is about 7481.4863496500. The cubic root of 55972638 is about 382.5239149471.

The spelling of 55972638 in words is "fifty-five million, nine hundred seventy-two thousand, six hundred thirty-eight".