890063664 has 160 divisors (see below), whose sum is σ = 2794106880. Its totient is φ = 238484736.

The previous prime is 890063663. The next prime is 890063693. The reversal of 890063664 is 466360098.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (890063663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 682437 + ... + 683739.

It is an arithmetic number, because the mean of its divisors is an integer number (17463168).

Almost surely, 2^890063664 is an apocalyptic number.

890063664 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 890063664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397053440).

890063664 is an abundant number, since it is smaller than the sum of its proper divisors (1904043216).

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

890063664 is a wasteful number, since it uses less digits than its factorization.

890063664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 890063664 is about 29833.9347723360. The cubic root of 890063664 is about 961.9231067959.

The spelling of 890063664 in words is "eight hundred ninety million, sixty-three thousand, six hundred sixty-four".