84020664 has 256 divisors, whose sum is σ = 286433280. Its totient is φ = 19906560.

The previous prime is 84020663. The next prime is 84020711. The reversal of 84020664 is 46602048.

84020664 is a modest number, since divided by 20664 gives 840 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84020663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150932 + ... + 1151004.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 2^84020664 is an apocalyptic number.

84020664 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 84020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

84020664 is an abundant number, since it is smaller than the sum of its proper divisors (202412616).

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

84020664 is a wasteful number, since it uses less digits than its factorization.

84020664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 84020664 is about 9166.2786342114. The cubic root of 84020664 is about 437.9878231013.

The spelling of 84020664 in words is "eighty-four million, twenty thousand, six hundred sixty-four".