900376560 has 400 divisors, whose sum is σ = 3370498560. Its totient is φ = 222082560.

The previous prime is 900376517. The next prime is 900376567. The reversal of 900376560 is 65673009.

It is a happy number.

900376560 is a `hidden beast` number, since 90 + 0 + 3 + 7 + 6 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900376567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8741469 + ... + 8741571.

Almost surely, 2^900376560 is an apocalyptic number.

900376560 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 900376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685249280).

900376560 is an abundant number, since it is smaller than the sum of its proper divisors (2470122000).

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

900376560 is a wasteful number, since it uses less digits than its factorization.

900376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 900376560 is about 30006.2753436677. The cubic root of 900376560 is about 965.6240194165.

The spelling of 900376560 in words is "nine hundred million, three hundred seventy-six thousand, five hundred sixty".