56342640 has 160 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 14046208.

The previous prime is 56342639. The next prime is 56342647. The reversal of 56342640 is 4624365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56342598 and 56342607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56342647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325594 + ... + 325766.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 2^56342640 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 56342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

56342640 is an abundant number, since it is smaller than the sum of its proper divisors (130074000).

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

56342640 is a wasteful number, since it uses less digits than its factorization.

56342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 56342640 is about 7506.1734592267. The cubic root of 56342640 is about 383.3649442531.

The spelling of 56342640 in words is "fifty-six million, three hundred forty-two thousand, six hundred forty".