55301664 has 48 divisors (see below), whose sum is σ = 158366880. Its totient is φ = 16757760.

The previous prime is 55301651. The next prime is 55301669. The reversal of 55301664 is 46610355.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×55301664³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (55301669) 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, 25129 + ... + 27240.

It is an arithmetic number, because the mean of its divisors is an integer number (3299310).

Almost surely, 2^55301664 is an apocalyptic number.

It is an amenable number.

55301664 is an abundant number, since it is smaller than the sum of its proper divisors (103065216).

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

55301664 is a wasteful number, since it uses less digits than its factorization.

55301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52393 (or 52385 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55301664 is about 7436.5088583286. The cubic root of 55301664 is about 380.9892598980.

The spelling of 55301664 in words is "fifty-five million, three hundred one thousand, six hundred sixty-four".