81642960 has 240 divisors, whose sum is σ = 318479616. Its totient is φ = 18358272.

The previous prime is 81642937. The next prime is 81642973. The reversal of 81642960 is 6924618.

81642960 is a `hidden beast` number, since 8 + 1 + 642 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488797 + ... + 488963.

Almost surely, 2^81642960 is an apocalyptic number.

81642960 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 81642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

81642960 is an abundant number, since it is smaller than the sum of its proper divisors (236836656).

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

81642960 is a wasteful number, since it uses less digits than its factorization.

81642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 81642960 is about 9035.6493955886. The cubic root of 81642960 is about 433.8166809150.

The spelling of 81642960 in words is "eighty-one million, six hundred forty-two thousand, nine hundred sixty".