55652064 has 96 divisors (see below), whose sum is σ = 165674880. Its totient is φ = 16215552.

The previous prime is 55652063. The next prime is 55652071. The reversal of 55652064 is 46025655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55652063) 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, 22539 + ... + 24885.

It is an arithmetic number, because the mean of its divisors is an integer number (1725780).

Almost surely, 2^55652064 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 55652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82837440).

55652064 is an abundant number, since it is smaller than the sum of its proper divisors (110022816).

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

55652064 is a wasteful number, since it uses less digits than its factorization.

55652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 55652064 is about 7460.0310991309. The cubic root of 55652064 is about 381.7922355488.

The spelling of 55652064 in words is "fifty-five million, six hundred fifty-two thousand, sixty-four".