82507424 has 48 divisors (see below), whose sum is σ = 172872000. Its totient is φ = 38651904.

The previous prime is 82507423. The next prime is 82507427. The reversal of 82507424 is 42470528.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (82507423) 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, 58277 + ... + 59675.

It is an arithmetic number, because the mean of its divisors is an integer number (3601500).

Almost surely, 2^82507424 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 82507424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86436000).

82507424 is an abundant number, since it is smaller than the sum of its proper divisors (90364576).

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

82507424 is a wasteful number, since it uses less digits than its factorization.

82507424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 82507424 is about 9083.3597308485. The cubic root of 82507424 is about 435.3424422896.

The spelling of 82507424 in words is "eighty-two million, five hundred seven thousand, four hundred twenty-four".