900637920 has 768 divisors, whose sum is σ = 4064256000. Its totient is φ = 181149696.

The previous prime is 900637861. The next prime is 900637937. The reversal of 900637920 is 29736009.

900637920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900637920² = 1622297325883852800, which contains 22 as substring.

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, 11400441 + ... + 11400519.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^900637920 is an apocalyptic number.

900637920 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 900637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

900637920 is an abundant number, since it is smaller than the sum of its proper divisors (3163618080).

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

900637920 is a wasteful number, since it uses less digits than its factorization.

900637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 900637920 is about 30010.6301166770. The cubic root of 900637920 is about 965.7174436900.

The spelling of 900637920 in words is "nine hundred million, six hundred thirty-seven thousand, nine hundred twenty".