890684964 has 192 divisors, whose sum is σ = 2646470400. Its totient is φ = 256794624.

The previous prime is 890684957. The next prime is 890684987. The reversal of 890684964 is 469486098.

890684964 is a `hidden beast` number, since 8 + 90 + 68 + 496 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 890684964.

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 63 ways as a sum of consecutive naturals, for example, 4614852 + ... + 4615044.

It is an arithmetic number, because the mean of its divisors is an integer number (13783700).

Almost surely, 2^890684964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890684964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323235200).

890684964 is an abundant number, since it is smaller than the sum of its proper divisors (1755785436).

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

890684964 is a wasteful number, since it uses less digits than its factorization.

890684964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 890684964 is about 29844.3455951039. The cubic root of 890684964 is about 962.1468749916.

The spelling of 890684964 in words is "eight hundred ninety million, six hundred eighty-four thousand, nine hundred sixty-four".