82540512 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 27158400.

The previous prime is 82540499. The next prime is 82540519. The reversal of 82540512 is 21504528.

It is a happy number.

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

It is a super-2 number, since 2×82540512² = 13625872242444288, which contains 22 as substring.

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 (82540519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71137 + ... + 72287.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^82540512 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 82540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

82540512 is an abundant number, since it is smaller than the sum of its proper divisors (161314848).

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

82540512 is a wasteful number, since it uses less digits than its factorization.

82540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

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

The square root of 82540512 is about 9085.1809007856. The cubic root of 82540512 is about 435.4006297226.

The spelling of 82540512 in words is "eighty-two million, five hundred forty thousand, five hundred twelve".