82515024 has 120 divisors (see below), whose sum is σ = 252310240. Its totient is φ = 26034048.

The previous prime is 82515023. The next prime is 82515029. The reversal of 82515024 is 42051528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82515023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73314 + ... + 74430.

Almost surely, 2^82515024 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 82515024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126155120).

82515024 is an abundant number, since it is smaller than the sum of its proper divisors (169795216).

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

82515024 is a wasteful number, since it uses less digits than its factorization.

82515024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82515024 is about 9083.7780686232. The cubic root of 82515024 is about 435.3558087675.

The spelling of 82515024 in words is "eighty-two million, five hundred fifteen thousand, twenty-four".