906306800 has 120 divisors (see below), whose sum is σ = 2497554432. Its totient is φ = 309600000.

The previous prime is 906306761. The next prime is 906306803. The reversal of 906306800 is 8603609.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906306803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206425 + ... + 1207175.

Almost surely, 2^906306800 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 906306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248777216).

906306800 is an abundant number, since it is smaller than the sum of its proper divisors (1591247632).

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

906306800 is a wasteful number, since it uses less digits than its factorization.

906306800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 906306800 is about 30104.9298288503. The cubic root of 906306800 is about 967.7393772788.

The spelling of 906306800 in words is "nine hundred six million, three hundred six thousand, eight hundred".