84724416 has 84 divisors (see below), whose sum is σ = 277552912. Its totient is φ = 24205824.

The previous prime is 84724397. The next prime is 84724417. The reversal of 84724416 is 61442748.

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

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

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

It is not an unprimeable number, because it can be changed into a prime (84724417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6475 + ... + 14538.

Almost surely, 2^84724416 is an apocalyptic number.

It is an amenable number.

84724416 is an abundant number, since it is smaller than the sum of its proper divisors (192828496).

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

84724416 is a wasteful number, since it uses less digits than its factorization.

84724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21038 (or 21025 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 84724416 is about 9204.5866827359. The cubic root of 84724416 is about 439.2072778911.

The spelling of 84724416 in words is "eighty-four million, seven hundred twenty-four thousand, four hundred sixteen".