84535464 has 64 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 25111296.

The previous prime is 84535433. The next prime is 84535471. The reversal of 84535464 is 46453548.

It is a super-3 number, since 3×84535464³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4377 + ... + 13719.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^84535464 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 84535464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

84535464 is an abundant number, since it is smaller than the sum of its proper divisors (150933336).

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

84535464 is a wasteful number, since it uses less digits than its factorization.

84535464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9390 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 84535464 is about 9194.3169403714. The cubic root of 84535464 is about 438.8805288538.

The spelling of 84535464 in words is "eighty-four million, five hundred thirty-five thousand, four hundred sixty-four".