82662400 has 66 divisors (see below), whose sum is σ = 204966110. Its totient is φ = 33054720.

The previous prime is 82662373. The next prime is 82662401. The reversal of 82662400 is 426628.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 80856064 = 1344^2 + 8992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82662401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23986 + ... + 27214.

Almost surely, 2^82662400 is an apocalyptic number.

82662400 is a gapful number since it is divisible by the number (80) 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 82662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102483055).

82662400 is an abundant number, since it is smaller than the sum of its proper divisors (122303710).

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

82662400 is a wasteful number, since it uses less digits than its factorization.

82662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 82662400 is about 9091.8864929122. The cubic root of 82662400 is about 435.6148437657.

The spelling of 82662400 in words is "eighty-two million, six hundred sixty-two thousand, four hundred".