84264768 has 84 divisors (see below), whose sum is σ = 276047200. Its totient is φ = 24074496.

The previous prime is 84264751. The next prime is 84264779. The reversal of 84264768 is 86746248.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×84264768² = 14201102252187648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6418 + ... + 14481.

Almost surely, 2^84264768 is an apocalyptic number.

It is an amenable number.

84264768 is an abundant number, since it is smaller than the sum of its proper divisors (191782432).

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

84264768 is a wasteful number, since it uses less digits than its factorization.

84264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20924 (or 20911 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 84264768 is about 9179.5843043136. The cubic root of 84264768 is about 438.4115728559.

The spelling of 84264768 in words is "eighty-four million, two hundred sixty-four thousand, seven hundred sixty-eight".