55507664 has 40 divisors (see below), whose sum is σ = 114025440. Its totient is φ = 26103168.

The previous prime is 55507663. The next prime is 55507679. The reversal of 55507664 is 46670555.

It is a super-2 number, since 2×55507664² = 6162201525473792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55507663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47147 + ... + 48309.

It is an arithmetic number, because the mean of its divisors is an integer number (2850636).

Almost surely, 2^55507664 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 55507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57012720).

55507664 is an abundant number, since it is smaller than the sum of its proper divisors (58517776).

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

55507664 is a wasteful number, since it uses less digits than its factorization.

55507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 55507664 is about 7450.3465691201. The cubic root of 55507664 is about 381.4617383716.

The spelling of 55507664 in words is "fifty-five million, five hundred seven thousand, six hundred sixty-four".