83408290 has 144 divisors (see below), whose sum is σ = 201588480. Its totient is φ = 24675840.

The previous prime is 83408287. The next prime is 83408293. The reversal of 83408290 is 9280438.

It is an interprime number because it is at equal distance from previous prime (83408287) and next prime (83408293).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (83408293) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2690575 + ... + 2690605.

It is an arithmetic number, because the mean of its divisors is an integer number (1399920).

Almost surely, 2^83408290 is an apocalyptic number.

83408290 is an abundant number, since it is smaller than the sum of its proper divisors (118180190).

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

83408290 is a wasteful number, since it uses less digits than its factorization.

83408290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 83408290 is about 9132.8139146705. The cubic root of 83408290 is about 436.9211544815.

The spelling of 83408290 in words is "eighty-three million, four hundred eight thousand, two hundred ninety".