83415906 has 80 divisors (see below), whose sum is σ = 226233216. Its totient is φ = 22425984.

The previous prime is 83415887. The next prime is 83415949. The reversal of 83415906 is 60951438.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17115 + ... + 21441.

Almost surely, 2^83415906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83415906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113116608).

83415906 is an abundant number, since it is smaller than the sum of its proper divisors (142817310).

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

83415906 is a wasteful number, since it uses less digits than its factorization.

83415906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83415906 is about 9133.2308631721. The cubic root of 83415906 is about 436.9344524811.

The spelling of 83415906 in words is "eighty-three million, four hundred fifteen thousand, nine hundred six".