82474560 has 168 divisors, whose sum is σ = 324282816. Its totient is φ = 18846720.

The previous prime is 82474549. The next prime is 82474571. The reversal of 82474560 is 6547428.

82474560 is a `hidden beast` number, since 8 + 24 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (82474549) and next prime (82474571).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18115 + ... + 22205.

Almost surely, 2^82474560 is an apocalyptic number.

82474560 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 82474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162141408).

82474560 is an abundant number, since it is smaller than the sum of its proper divisors (241808256).

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

82474560 is a wasteful number, since it uses less digits than its factorization.

82474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 82474560 is about 9081.5505284065. The cubic root of 82474560 is about 435.2846333745.

The spelling of 82474560 in words is "eighty-two million, four hundred seventy-four thousand, five hundred sixty".