56121408 has 168 divisors, whose sum is σ = 190195200. Its totient is φ = 15482880.

The previous prime is 56121391. The next prime is 56121413. The reversal of 56121408 is 80412165.

56121408 is a `hidden beast` number, since 5 + 612 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×56121408² = 6299224871804928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124768 + ... + 125216.

Almost surely, 2^56121408 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 56121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

56121408 is an abundant number, since it is smaller than the sum of its proper divisors (134073792).

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

56121408 is a wasteful number, since it uses less digits than its factorization.

56121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56121408 is about 7491.4222948650. The cubic root of 56121408 is about 382.8625193105.

The spelling of 56121408 in words is "fifty-six million, one hundred twenty-one thousand, four hundred eight".