900080640 has 352 divisors, whose sum is σ = 3395727360. Its totient is φ = 225312768.

The previous prime is 900080639. The next prime is 900080647. The reversal of 900080640 is 46080009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900080647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349889 + ... + 2350271.

Almost surely, 2^900080640 is an apocalyptic number.

900080640 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 900080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697863680).

900080640 is an abundant number, since it is smaller than the sum of its proper divisors (2495646720).

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

900080640 is a wasteful number, since it uses less digits than its factorization.

900080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 900080640 is about 30001.3439698957. The cubic root of 900080640 is about 965.5182196941.

The spelling of 900080640 in words is "nine hundred million, eighty thousand, six hundred forty".