56214840 has 128 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 13248000.

The previous prime is 56214839. The next prime is 56214841. The reversal of 56214840 is 4841265.

56214840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56214839) and next prime (56214841).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 56214798 and 56214807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56214841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48265 + ... + 49415.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 2^56214840 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 56214840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556160).

56214840 is an abundant number, since it is smaller than the sum of its proper divisors (132897480).

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

56214840 is a wasteful number, since it uses less digits than its factorization.

56214840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56214840 is about 7497.6556335964. The cubic root of 56214840 is about 383.0748671437.

The spelling of 56214840 in words is "fifty-six million, two hundred fourteen thousand, eight hundred forty".