900596880 has 120 divisors (see below), whose sum is σ = 3136590912. Its totient is φ = 240153984.

The previous prime is 900596869. The next prime is 900596887. The reversal of 900596880 is 88695009.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×900596880² = 1622149480531468800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (900596887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3724 + ... + 42603.

Almost surely, 2^900596880 is an apocalyptic number.

900596880 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 900596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568295456).

900596880 is an abundant number, since it is smaller than the sum of its proper divisors (2235994032).

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

900596880 is a wasteful number, since it uses less digits than its factorization.

900596880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46355 (or 46337 counting only the distinct ones).

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

The square root of 900596880 is about 30009.9463511683. The cubic root of 900596880 is about 965.7027749590.

The spelling of 900596880 in words is "nine hundred million, five hundred ninety-six thousand, eight hundred eighty".