890366400 has 756 divisors, whose sum is σ = 4029787216. Its totient is φ = 182476800.

The previous prime is 890366383. The next prime is 890366423. The reversal of 890366400 is 4663098.

890366400 is a `hidden beast` number, since 8 + 9 + 0 + 3 + 6 + 640 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196764 + ... + 12196836.

Almost surely, 2^890366400 is an apocalyptic number.

890366400 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 890366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014893608).

890366400 is an abundant number, since it is smaller than the sum of its proper divisors (3139420816).

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

890366400 is a wasteful number, since it uses less digits than its factorization.

890366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 890366400 is about 29839.0080264073. The cubic root of 890366400 is about 962.0321535812.

The spelling of 890366400 in words is "eight hundred ninety million, three hundred sixty-six thousand, four hundred".