81612480 has 112 divisors (see below), whose sum is σ = 261298944. Its totient is φ = 21580800.

The previous prime is 81612473. The next prime is 81612497. The reversal of 81612480 is 8421618.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144679 + ... + 145241.

Almost surely, 2^81612480 is an apocalyptic number.

81612480 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 81612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130649472).

81612480 is an abundant number, since it is smaller than the sum of its proper divisors (179686464).

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

81612480 is a wasteful number, since it uses less digits than its factorization.

81612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 81612480 is about 9033.9625857096. The cubic root of 81612480 is about 433.7626881876.

The spelling of 81612480 in words is "eighty-one million, six hundred twelve thousand, four hundred eighty".