82466688 has 128 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 25546752.

The previous prime is 82466663. The next prime is 82466701. The reversal of 82466688 is 88666428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649281 + ... + 649407.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^82466688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

82466688 is an abundant number, since it is smaller than the sum of its proper divisors (152541312).

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

82466688 is a wasteful number, since it uses less digits than its factorization.

82466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 82466688 is about 9081.1171118976. The cubic root of 82466688 is about 435.2707839739.

The spelling of 82466688 in words is "eighty-two million, four hundred sixty-six thousand, six hundred eighty-eight".