84801864 has 128 divisors (see below), whose sum is σ = 263577600. Its totient is φ = 22187520.

The previous prime is 84801863. The next prime is 84801877. The reversal of 84801864 is 46810848.

It is a super-2 number, since 2×84801864² = 14382712275748992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84801863) 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, 98524 + ... + 99380.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 2^84801864 is an apocalyptic number.

84801864 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 84801864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131788800).

84801864 is an abundant number, since it is smaller than the sum of its proper divisors (178775736).

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

84801864 is a wasteful number, since it uses less digits than its factorization.

84801864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 84801864 is about 9208.7927547535. The cubic root of 84801864 is about 439.3410660297.

The spelling of 84801864 in words is "eighty-four million, eight hundred one thousand, eight hundred sixty-four".