84890405964 has 192 divisors, whose sum is σ = 259025872896. Its totient is φ = 20998434816.

The previous prime is 84890405953. The next prime is 84890406023. The reversal of 84890405964 is 46950409848.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5431449 + ... + 5447055.

It is an arithmetic number, because the mean of its divisors is an integer number (1349093088).

Almost surely, 2^84890405964 is an apocalyptic number.

84890405964 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 84890405964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129512936448).

84890405964 is an abundant number, since it is smaller than the sum of its proper divisors (174135466932).

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

84890405964 is a wasteful number, since it uses less digits than its factorization.

84890405964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 84890405964 in words is "eighty-four billion, eight hundred ninety million, four hundred five thousand, nine hundred sixty-four".