55770960 has 160 divisors (see below), whose sum is σ = 200344320. Its totient is φ = 12570624.

The previous prime is 55770959. The next prime is 55770977. The reversal of 55770960 is 6907755.

It is a super-2 number, since 2×55770960² = 6220799958643200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149334 + ... + 149706.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^55770960 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 55770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160).

55770960 is an abundant number, since it is smaller than the sum of its proper divisors (144573360).

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

55770960 is a wasteful number, since it uses less digits than its factorization.

55770960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 55770960 is about 7467.9957150497. The cubic root of 55770960 is about 382.0639312606.

It can be divided in two parts, 557 and 70960, that added together give a palindrome (71517).

The spelling of 55770960 in words is "fifty-five million, seven hundred seventy thousand, nine hundred sixty".