55662640 has 80 divisors (see below), whose sum is σ = 144562176. Its totient is φ = 19756800.

The previous prime is 55662631. The next prime is 55662643. The reversal of 55662640 is 4626655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 55662596 and 55662605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55662643) 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, 37105 + ... + 38575.

Almost surely, 2^55662640 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 55662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72281088).

55662640 is an abundant number, since it is smaller than the sum of its proper divisors (88899536).

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

55662640 is a wasteful number, since it uses less digits than its factorization.

55662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 55662640 is about 7460.7399096872. The cubic root of 55662640 is about 381.8164190120.

The spelling of 55662640 in words is "fifty-five million, six hundred sixty-two thousand, six hundred forty".