890072064 has 396 divisors, whose sum is σ = 3142865544. Its totient is φ = 250822656.

The previous prime is 890072059. The next prime is 890072069. The reversal of 890072064 is 460270098.

It is an interprime number because it is at equal distance from previous prime (890072059) and next prime (890072069).

It is a super-2 number, since 2×890072064² = 1584456558226440192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890072069) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12192732 + ... + 12192804.

Almost surely, 2^890072064 is an apocalyptic number.

890072064 is a gapful number since it is divisible by the number (84) 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 890072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571432772).

890072064 is an abundant number, since it is smaller than the sum of its proper divisors (2252793480).

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

890072064 is an equidigital number, since it uses as much as digits as its factorization.

890072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 890072064 is about 29834.0755512887. The cubic root of 890072064 is about 961.9261328448.

The spelling of 890072064 in words is "eight hundred ninety million, seventy-two thousand, sixty-four".