890073600 has 240 divisors, whose sum is σ = 3168255552. Its totient is φ = 218972160.

The previous prime is 890073593. The next prime is 890073629. The reversal of 890073600 is 6370098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498309 + ... + 500091.

Almost surely, 2^890073600 is an apocalyptic number.

890073600 is a gapful number since it is divisible by the number (80) 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 890073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584127776).

890073600 is an abundant number, since it is smaller than the sum of its proper divisors (2278181952).

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

890073600 is a wasteful number, since it uses less digits than its factorization.

890073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 890073600 is about 29834.1012936539. The cubic root of 890073600 is about 961.9266861774.

The spelling of 890073600 in words is "eight hundred ninety million, seventy-three thousand, six hundred".