56458640 has 80 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 18877440.

The previous prime is 56458637. The next prime is 56458667. The reversal of 56458640 is 4685465.

56458640 = T₁₆₃₉ + T₁₆₄₀ + ... + T₁₆₇₉.

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 = 56458594 and 56458603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21731 + ... + 24189.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 2^56458640 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 56458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

56458640 is an abundant number, since it is smaller than the sum of its proper divisors (97281520).

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

56458640 is a wasteful number, since it uses less digits than its factorization.

56458640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 56458640 is about 7513.8964592281. The cubic root of 56458640 is about 383.6278585067.

The spelling of 56458640 in words is "fifty-six million, four hundred fifty-eight thousand, six hundred forty".