84934720 has 112 divisors (see below), whose sum is σ = 230812848. Its totient is φ = 29491200.

The previous prime is 84934621. The next prime is 84934757. The reversal of 84934720 is 2743948.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18870336 + 66064384 = 4344^2 + 8128^2 .

It is a super-2 number, since 2×84934720² = 14427813322956800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84934720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70120 + ... + 71320.

It is an arithmetic number, because the mean of its divisors is an integer number (2060829).

Almost surely, 2^84934720 is an apocalyptic number.

84934720 is a gapful number since it is divisible by the number (80) 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 84934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115406424).

84934720 is an abundant number, since it is smaller than the sum of its proper divisors (145878128).

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

84934720 is a wasteful number, since it uses less digits than its factorization.

84934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 84934720 is about 9216.0034722216. The cubic root of 84934720 is about 439.5703795488.

The spelling of 84934720 in words is "eighty-four million, nine hundred thirty-four thousand, seven hundred twenty".