906536800 has 144 divisors (see below), whose sum is σ = 2420751312. Its totient is φ = 329472000.

The previous prime is 906536791. The next prime is 906536833. The reversal of 906536800 is 8635609.

It is a self number, because there is not a number n which added to its sum of digits gives 906536800.

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, 696150 + ... + 697450.

It is an arithmetic number, because the mean of its divisors is an integer number (16810773).

Almost surely, 2^906536800 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 906536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210375656).

906536800 is an abundant number, since it is smaller than the sum of its proper divisors (1514214512).

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

906536800 is a wasteful number, since it uses less digits than its factorization.

906536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 906536800 is about 30108.7495588907. The cubic root of 906536800 is about 967.8212337505.

The spelling of 906536800 in words is "nine hundred six million, five hundred thirty-six thousand, eight hundred".