55769664 has 112 divisors (see below), whose sum is σ = 156984192. Its totient is φ = 17436672.

The previous prime is 55769663. The next prime is 55769669. The reversal of 55769664 is 46696755.

It is a super-2 number, since 2×55769664² = 6220510845345792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55769663) 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, 322282 + ... + 322454.

Almost surely, 2^55769664 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 55769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78492096).

55769664 is an abundant number, since it is smaller than the sum of its proper divisors (101214528).

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

55769664 is a wasteful number, since it uses less digits than its factorization.

55769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 55769664 is about 7467.9089442762. The cubic root of 55769664 is about 382.0609717831.

The spelling of 55769664 in words is "fifty-five million, seven hundred sixty-nine thousand, six hundred sixty-four".