83424816 has 120 divisors (see below), whose sum is σ = 248248000. Its totient is φ = 27107136.

The previous prime is 83424769. The next prime is 83424857. The reversal of 83424816 is 61842438.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166935 + ... + 167433.

Almost surely, 2^83424816 is an apocalyptic number.

83424816 is a gapful number since it is divisible by the number (86) 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 83424816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124124000).

83424816 is an abundant number, since it is smaller than the sum of its proper divisors (164823184).

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

83424816 is a wasteful number, since it uses less digits than its factorization.

83424816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 83424816 is about 9133.7186293426. The cubic root of 83424816 is about 436.9500088562.

The spelling of 83424816 in words is "eighty-three million, four hundred twenty-four thousand, eight hundred sixteen".