82666400 has 36 divisors (see below), whose sum is σ = 201811302. Its totient is φ = 33066240.

The previous prime is 82666387. The next prime is 82666417. The reversal of 82666400 is 466628.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 75968656 + 6697744 = 8716^2 + 2588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50867 + ... + 52466.

Almost surely, 2^82666400 is an apocalyptic number.

82666400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82666400 is an abundant number, since it is smaller than the sum of its proper divisors (119144902).

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

82666400 is a wasteful number, since it uses less digits than its factorization.

82666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103353 (or 103340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 82666400 is about 9092.1064666006. The cubic root of 82666400 is about 435.6218700609.

The spelling of 82666400 in words is "eighty-two million, six hundred sixty-six thousand, four hundred".