906086400 has 288 divisors, whose sum is σ = 3180733920. Its totient is φ = 226754560.

The previous prime is 906086399. The next prime is 906086413. The reversal of 906086400 is 4680609.

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, 2611027 + ... + 2611373.

It is an arithmetic number, because the mean of its divisors is an integer number (11044215).

Almost surely, 2^906086400 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 906086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590366960).

906086400 is an abundant number, since it is smaller than the sum of its proper divisors (2274647520).

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

906086400 is a wasteful number, since it uses less digits than its factorization.

906086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 906086400 is about 30101.2690762366. The cubic root of 906086400 is about 967.6609244301.

The spelling of 906086400 in words is "nine hundred six million, eighty-six thousand, four hundred".