55464064 has 64 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 25661440.

The previous prime is 55464001. The next prime is 55464091. The reversal of 55464064 is 46046455.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154317 + ... + 154675.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^55464064 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 55464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

55464064 is an abundant number, since it is smaller than the sum of its proper divisors (63508736).

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

55464064 is a wasteful number, since it uses less digits than its factorization.

55464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 55464064 is about 7447.4199559310. The cubic root of 55464064 is about 381.3618357209.

The spelling of 55464064 in words is "fifty-five million, four hundred sixty-four thousand, sixty-four".