82432560 has 160 divisors (see below), whose sum is σ = 294981120. Its totient is φ = 18653184.

The previous prime is 82432513. The next prime is 82432607. The reversal of 82432560 is 6523428.

82432560 = 385² + 386² + ... + 672².

It is an interprime number because it is at equal distance from previous prime (82432513) and next prime (82432607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233344 + ... + 233696.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^82432560 is an apocalyptic number.

82432560 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 82432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490560).

82432560 is an abundant number, since it is smaller than the sum of its proper divisors (212548560).

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

82432560 is a wasteful number, since it uses less digits than its factorization.

82432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 82432560 is about 9079.2378534765. The cubic root of 82432560 is about 435.2107315603.

Adding to 82432560 its reverse (6523428), we get a palindrome (88955988).

The spelling of 82432560 in words is "eighty-two million, four hundred thirty-two thousand, five hundred sixty".