83456464 has 120 divisors (see below), whose sum is σ = 210319872. Its totient is φ = 31207680.

The previous prime is 83456459. The next prime is 83456467. The reversal of 83456464 is 46465438.

Its product of digits (276480) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83456467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940827 + ... + 1940869.

Almost surely, 2^83456464 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 83456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105159936).

83456464 is an abundant number, since it is smaller than the sum of its proper divisors (126863408).

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

83456464 is a wasteful number, since it uses less digits than its factorization.

83456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 83456464 is about 9135.4509467240. The cubic root of 83456464 is about 437.0052555891.

The spelling of 83456464 in words is "eighty-three million, four hundred fifty-six thousand, four hundred sixty-four".