55464960 has 176 divisors, whose sum is σ = 186293376. Its totient is φ = 14057472.

The previous prime is 55464947. The next prime is 55464967. The reversal of 55464960 is 6946455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55464967) 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, 353202 + ... + 353358.

Almost surely, 2^55464960 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 55464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93146688).

55464960 is an abundant number, since it is smaller than the sum of its proper divisors (130828416).

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

55464960 is a wasteful number, since it uses less digits than its factorization.

55464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 55464960 is about 7447.4801107489. The cubic root of 55464960 is about 381.3638892930.

The spelling of 55464960 in words is "fifty-five million, four hundred sixty-four thousand, nine hundred sixty".