55792640 has 88 divisors (see below), whose sum is σ = 141930792. Its totient is φ = 20971520.

The previous prime is 55792637. The next prime is 55792643. The reversal of 55792640 is 4629755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55792637) and next prime (55792643).

It can be written as a sum of positive squares in 4 ways, for example, as 23348224 + 32444416 = 4832^2 + 5696^2 .

It is a super-2 number, since 2×55792640² = 6225637356339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55792594 and 55792603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55792643) 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, 86720 + ... + 87360.

Almost surely, 2^55792640 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 55792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70965396).

55792640 is an abundant number, since it is smaller than the sum of its proper divisors (86138152).

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

55792640 is a wasteful number, since it uses less digits than its factorization.

55792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 55792640 is about 7469.4471013590. The cubic root of 55792640 is about 382.1134317709.

The spelling of 55792640 in words is "fifty-five million, seven hundred ninety-two thousand, six hundred forty".