55646304 has 96 divisors (see below), whose sum is σ = 176795136. Its totient is φ = 14960640.

The previous prime is 55646251. The next prime is 55646309. The reversal of 55646304 is 40364655.

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

It is a super-2 number, since 2×55646304² = 6193022297720832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55646309) 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, 8989 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (1841616).

Almost surely, 2^55646304 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 55646304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88397568).

55646304 is an abundant number, since it is smaller than the sum of its proper divisors (121148832).

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

55646304 is a wasteful number, since it uses less digits than its factorization.

55646304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 55646304 is about 7459.6450317693. The cubic root of 55646304 is about 381.7790632362.

The spelling of 55646304 in words is "fifty-five million, six hundred forty-six thousand, three hundred four".