82697648 has 40 divisors (see below), whose sum is σ = 175316160. Its totient is φ = 37477440.

The previous prime is 82697623. The next prime is 82697653. The reversal of 82697648 is 84679628.

It is a junction number, because it is equal to n+sod(n) for n = 82697596 and 82697605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95843 + ... + 96701.

It is an arithmetic number, because the mean of its divisors is an integer number (4382904).

Almost surely, 2^82697648 is an apocalyptic number.

82697648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82697648 is an abundant number, since it is smaller than the sum of its proper divisors (92618512).

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

82697648 is a wasteful number, since it uses less digits than its factorization.

82697648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 82697648 is about 9093.8247179061. The cubic root of 82697648 is about 435.6767516790.

The spelling of 82697648 in words is "eighty-two million, six hundred ninety-seven thousand, six hundred forty-eight".