83153408 has 90 divisors (see below), whose sum is σ = 185898537. Its totient is φ = 37140480.

The previous prime is 83153363. The next prime is 83153417. The reversal of 83153408 is 80435138.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 71098624 + 12054784 = 8432^2 + 3472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6448.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2682353 + ... + 2682383.

Almost surely, 2^83153408 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 83153408

83153408 is an abundant number, since it is smaller than the sum of its proper divisors (102745129).

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

83153408 is an equidigital number, since it uses as much as digits as its factorization.

83153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 83153408 is about 9118.8490501817. The cubic root of 83153408 is about 436.4756473395.

Multiplying 83153408 by its sum of digits (32), we get a square (2660909056 = 51584²).

83153408 divided by its sum of digits (32) gives a square (2598544 = 1612²).

The spelling of 83153408 in words is "eighty-three million, one hundred fifty-three thousand, four hundred eight".