82515840 has 128 divisors (see below), whose sum is σ = 287003520. Its totient is φ = 19998720.

The previous prime is 82515833. The next prime is 82515887. The reversal of 82515840 is 4851528.

82515840 = T₁₅₃ + T₁₅₄ + ... + T₇₉₂.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 19167 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (2242215).

Almost surely, 2^82515840 is an apocalyptic number.

82515840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143501760).

82515840 is an abundant number, since it is smaller than the sum of its proper divisors (204487680).

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

82515840 is a wasteful number, since it uses less digits than its factorization.

82515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 82515840 is about 9083.8229837442. The cubic root of 82515840 is about 435.3572438564.

The spelling of 82515840 in words is "eighty-two million, five hundred fifteen thousand, eight hundred forty".