56259840 has 432 divisors, whose sum is σ = 234880128. Its totient is φ = 11354112.

The previous prime is 56259829. The next prime is 56259901. The reversal of 56259840 is 4895265.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446069 + ... + 2446091.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

Almost surely, 2^56259840 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 56259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

56259840 is an abundant number, since it is smaller than the sum of its proper divisors (178620288).

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

56259840 is a wasteful number, since it uses less digits than its factorization.

56259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 56259840 is about 7500.6559713134. The cubic root of 56259840 is about 383.1770570713.

The spelling of 56259840 in words is "fifty-six million, two hundred fifty-nine thousand, eight hundred forty".