83035368 has 80 divisors (see below), whose sum is σ = 250491780. Its totient is φ = 25546752.

The previous prime is 83035367. The next prime is 83035369. The reversal of 83035368 is 86353038.

It is an interprime number because it is at equal distance from previous prime (83035367) and next prime (83035369).

It can be written as a sum of positive squares in 2 ways, for example, as 77475204 + 5560164 = 8802^2 + 2358^2 .

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

It is not an unprimeable number, because it can be changed into a prime (83035367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3496 + ... + 13352.

Almost surely, 2^83035368 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 83035368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125245890).

83035368 is an abundant number, since it is smaller than the sum of its proper divisors (167456412).

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

83035368 is a wasteful number, since it uses less digits than its factorization.

83035368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83035368 is about 9112.3744435795. The cubic root of 83035368 is about 436.2690172688.

The spelling of 83035368 in words is "eighty-three million, thirty-five thousand, three hundred sixty-eight".