9000856980 has 144 divisors (see below), whose sum is σ = 27920902464. Its totient is φ = 2346485760.

The previous prime is 9000856979. The next prime is 9000856981. The reversal of 9000856980 is 896580009.

9000856980 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 8 + 569 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9000856979) and next prime (9000856981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000856981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446075 + ... + 1452285.

It is an arithmetic number, because the mean of its divisors is an integer number (193895156).

Almost surely, 2^9000856980 is an apocalyptic number.

9000856980 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 9000856980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960451232).

9000856980 is an abundant number, since it is smaller than the sum of its proper divisors (18920045484).

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

9000856980 is a wasteful number, since it uses less digits than its factorization.

9000856980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9000856980 is about 94872.8463787189. The cubic root of 9000856980 is about 2080.1498428170.

The spelling of 9000856980 in words is "nine billion, eight hundred fifty-six thousand, nine hundred eighty".