55901664 has 288 divisors, whose sum is σ = 205470720. Its totient is φ = 14556672.

The previous prime is 55901641. The next prime is 55901683. The reversal of 55901664 is 46610955.

55901664 is a `hidden beast` number, since 5 + 590 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707577 + ... + 707655.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 2^55901664 is an apocalyptic number.

55901664 is a gapful number since it is divisible by the number (54) 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 55901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

55901664 is an abundant number, since it is smaller than the sum of its proper divisors (149569056).

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

55901664 is a wasteful number, since it uses less digits than its factorization.

55901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55901664 is about 7476.7415362576. The cubic root of 55901664 is about 382.3621648695.

It can be divided in two parts, 55901 and 664, that added together give a palindrome (56565).

The spelling of 55901664 in words is "fifty-five million, nine hundred one thousand, six hundred sixty-four".