906212880 has 640 divisors, whose sum is σ = 3664051200. Its totient is φ = 204374016.

The previous prime is 906212869. The next prime is 906212893. The reversal of 906212880 is 88212609.

906212880 is a `hidden beast` number, since 9 + 0 + 621 + 28 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24492222 + ... + 24492258.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2^906212880 is an apocalyptic number.

906212880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

906212880 is an abundant number, since it is smaller than the sum of its proper divisors (2757838320).

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

906212880 is a wasteful number, since it uses less digits than its factorization.

906212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 906212880 is about 30103.3699110249. The cubic root of 906212880 is about 967.7059473843.

The spelling of 906212880 in words is "nine hundred six million, two hundred twelve thousand, eight hundred eighty".