81456960 has 224 divisors, whose sum is σ = 285731712. Its totient is φ = 19537920.

The previous prime is 81456953. The next prime is 81456967. The reversal of 81456960 is 6965418.

It is an interprime number because it is at equal distance from previous prime (81456953) and next prime (81456967).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81456967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761227 + ... + 761333.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^81456960 is an apocalyptic number.

81456960 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 81456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

81456960 is an abundant number, since it is smaller than the sum of its proper divisors (204274752).

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

81456960 is a wasteful number, since it uses less digits than its factorization.

81456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 81456960 is about 9025.3509627050. The cubic root of 81456960 is about 433.4869882444.

The spelling of 81456960 in words is "eighty-one million, four hundred fifty-six thousand, nine hundred sixty".