890413680 has 240 divisors, whose sum is σ = 3096096480. Its totient is φ = 211341312.

The previous prime is 890413639. The next prime is 890413703. The reversal of 890413680 is 86314098.

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

It is a super-2 number, since 2×890413680² = 1585673043062284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175862 + ... + 1176618.

It is an arithmetic number, because the mean of its divisors is an integer number (12900402).

Almost surely, 2^890413680 is an apocalyptic number.

890413680 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 890413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548048240).

890413680 is an abundant number, since it is smaller than the sum of its proper divisors (2205682800).

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

890413680 is a wasteful number, since it uses less digits than its factorization.

890413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 890413680 is about 29839.8002674281. The cubic root of 890413680 is about 962.0491818050.

The spelling of 890413680 in words is "eight hundred ninety million, four hundred thirteen thousand, six hundred eighty".