83460564 has 96 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 25077600.

The previous prime is 83460547. The next prime is 83460581. The reversal of 83460564 is 46506438.

83460564 is a `hidden beast` number, since 8 + 34 + 60 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (83460547) and next prime (83460581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 193429 + ... + 193859.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 2^83460564 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 83460564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

83460564 is an abundant number, since it is smaller than the sum of its proper divisors (154588716).

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

83460564 is a wasteful number, since it uses less digits than its factorization.

83460564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 83460564 is about 9135.6753444942. The cubic root of 83460564 is about 437.0124117842.

The spelling of 83460564 in words is "eighty-three million, four hundred sixty thousand, five hundred sixty-four".