906382980 has 96 divisors (see below), whose sum is σ = 2838084480. Its totient is φ = 240140160.

The previous prime is 906382979. The next prime is 906383003. The reversal of 906382980 is 89283609.

906382980 is a `hidden beast` number, since 9 + 0 + 638 + 2 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79435 + ... + 90125.

It is an arithmetic number, because the mean of its divisors is an integer number (29563380).

Almost surely, 2^906382980 is an apocalyptic number.

906382980 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 906382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419042240).

906382980 is an abundant number, since it is smaller than the sum of its proper divisors (1931701500).

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

906382980 is a wasteful number, since it uses less digits than its factorization.

906382980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 906382980 is about 30106.1950435454. The cubic root of 906382980 is about 967.7664910995.

The spelling of 906382980 in words is "nine hundred six million, three hundred eighty-two thousand, nine hundred eighty".