920607408 has 120 divisors (see below), whose sum is σ = 2973404928. Its totient is φ = 260447616.

The previous prime is 920607343. The next prime is 920607421. The reversal of 920607408 is 804706029.

920607408 is a `hidden beast` number, since 9 + 2 + 0 + 607 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 99391 + ... + 108257.

Almost surely, 2^920607408 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 920607408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486702464).

920607408 is an abundant number, since it is smaller than the sum of its proper divisors (2052797520).

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

920607408 is a wasteful number, since it uses less digits than its factorization.

920607408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 920607408 is about 30341.5129484342. The cubic root of 920607408 is about 972.8028219689.

The spelling of 920607408 in words is "nine hundred twenty million, six hundred seven thousand, four hundred eight".