82507488 has 96 divisors (see below), whose sum is σ = 251838720. Its totient is φ = 23162880.

The previous prime is 82507471. The next prime is 82507517. The reversal of 82507488 is 88470528.

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

It is a super-3 number, since 3×82507488³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 38608 + ... + 40688.

It is an arithmetic number, because the mean of its divisors is an integer number (2623320).

Almost surely, 2^82507488 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 82507488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125919360).

82507488 is an abundant number, since it is smaller than the sum of its proper divisors (169331232).

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

82507488 is a wasteful number, since it uses less digits than its factorization.

82507488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 82507488 is about 9083.3632537734. The cubic root of 82507488 is about 435.3425548529.

The spelling of 82507488 in words is "eighty-two million, five hundred seven thousand, four hundred eighty-eight".