82563880 has 64 divisors (see below), whose sum is σ = 213840000. Its totient is φ = 28103424.

The previous prime is 82563869. The next prime is 82563919. The reversal of 82563880 is 8836528.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 40731 + ... + 42709.

It is an arithmetic number, because the mean of its divisors is an integer number (3341250).

Almost surely, 2^82563880 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 82563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106920000).

82563880 is an abundant number, since it is smaller than the sum of its proper divisors (131276120).

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

82563880 is a wasteful number, since it uses less digits than its factorization.

82563880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 82563880 is about 9086.4668601168. The cubic root of 82563880 is about 435.4417145251.

The spelling of 82563880 in words is "eighty-two million, five hundred sixty-three thousand, eight hundred eighty".