82557090 has 288 divisors, whose sum is σ = 291876480. Its totient is φ = 16251840.

The previous prime is 82557073. The next prime is 82557091. The reversal of 82557090 is 9075528.

82557090 is a `hidden beast` number, since 82 + 5 + 570 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82557091) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4345101 + ... + 4345119.

It is an arithmetic number, because the mean of its divisors is an integer number (1013460).

Almost surely, 2^82557090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82557090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

82557090 is an abundant number, since it is smaller than the sum of its proper divisors (209319390).

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

82557090 is a wasteful number, since it uses less digits than its factorization.

82557090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 82557090 is about 9086.0932198608. The cubic root of 82557090 is about 435.4297773830.

The spelling of 82557090 in words is "eighty-two million, five hundred fifty-seven thousand, ninety".