82848640 has 64 divisors (see below), whose sum is σ = 226366560. Its totient is φ = 28403712.

The previous prime is 82848637. The next prime is 82848653. The reversal of 82848640 is 4684828.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 82848593 and 82848602.

It is a congruent number.

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, 4767 + ... + 13726.

Almost surely, 2^82848640 is an apocalyptic number.

82848640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82848640 is an abundant number, since it is smaller than the sum of its proper divisors (143517920).

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

82848640 is a wasteful number, since it uses less digits than its factorization.

82848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18519 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 82848640 is about 9102.1228293184. The cubic root of 82848640 is about 435.9417479620.

The spelling of 82848640 in words is "eighty-two million, eight hundred forty-eight thousand, six hundred forty".