82888704 has 96 divisors (see below), whose sum is σ = 245700000. Its totient is φ = 27611136.

The previous prime is 82888703. The next prime is 82888747. The reversal of 82888704 is 40788828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82888704.

It is not an unprimeable number, because it can be changed into a prime (82888703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54547 + ... + 56045.

It is an arithmetic number, because the mean of its divisors is an integer number (2559375).

Almost surely, 2^82888704 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 82888704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850000).

82888704 is an abundant number, since it is smaller than the sum of its proper divisors (162811296).

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

82888704 is a wasteful number, since it uses less digits than its factorization.

82888704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 82888704 is about 9104.3233685980. The cubic root of 82888704 is about 436.0120076372.

The spelling of 82888704 in words is "eighty-two million, eight hundred eighty-eight thousand, seven hundred four".