82690608 has 160 divisors (see below), whose sum is σ = 286981632. Its totient is φ = 19814400.

The previous prime is 82690579. The next prime is 82690627. The reversal of 82690608 is 80609628.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47188 + ... + 48908.

Almost surely, 2^82690608 is an apocalyptic number.

82690608 is a gapful number since it is divisible by the number (88) 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 82690608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143490816).

82690608 is an abundant number, since it is smaller than the sum of its proper divisors (204291024).

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

82690608 is a wasteful number, since it uses less digits than its factorization.

82690608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 82690608 is about 9093.4376338104. The cubic root of 82690608 is about 435.6643883634.

The spelling of 82690608 in words is "eighty-two million, six hundred ninety thousand, six hundred eight".