80962560 has 264 divisors, whose sum is σ = 321886656. Its totient is φ = 18432000.

The previous prime is 80962559. The next prime is 80962561. The reversal of 80962560 is 6526908.

80962560 is a `hidden beast` number, since 8 + 0 + 96 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (80962559) and next prime (80962561).

It is a super-2 number, since 2×80962560² = 13109872243507200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (80962561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322435 + ... + 322685.

Almost surely, 2^80962560 is an apocalyptic number.

80962560 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 80962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328).

80962560 is an abundant number, since it is smaller than the sum of its proper divisors (240924096).

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

80962560 is a wasteful number, since it uses less digits than its factorization.

80962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80962560 is about 8997.9197595889. The cubic root of 80962560 is about 432.6081968383.

The spelling of 80962560 in words is "eighty million, nine hundred sixty-two thousand, five hundred sixty".