56735406 has 96 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 14167872.

The previous prime is 56735401. The next prime is 56735407. The reversal of 56735406 is 60453765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30211 + ... + 32033.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^56735406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56735406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

56735406 is an abundant number, since it is smaller than the sum of its proper divisors (102609234).

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

56735406 is a wasteful number, since it uses less digits than its factorization.

56735406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56735406 is about 7532.2908865763. The cubic root of 56735406 is about 384.2536979120.

The spelling of 56735406 in words is "fifty-six million, seven hundred thirty-five thousand, four hundred six".