82613400 has 96 divisors (see below), whose sum is σ = 258026640. Its totient is φ = 21864960.

The previous prime is 82613383. The next prime is 82613411. The reversal of 82613400 is 431628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93762 + ... + 94638.

Almost surely, 2^82613400 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 82613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129013320).

82613400 is an abundant number, since it is smaller than the sum of its proper divisors (175413240).

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

82613400 is a wasteful number, since it uses less digits than its factorization.

82613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 82613400 is about 9089.1913831760. The cubic root of 82613400 is about 435.5287532484.

The spelling of 82613400 in words is "eighty-two million, six hundred thirteen thousand, four hundred".