81600480 has 192 divisors, whose sum is σ = 307782720. Its totient is φ = 20072448.

The previous prime is 81600479. The next prime is 81600487. The reversal of 81600480 is 8400618.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81600487) 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, 55434 + ... + 56886.

It is an arithmetic number, because the mean of its divisors is an integer number (1603035).

Almost surely, 2^81600480 is an apocalyptic number.

81600480 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 81600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153891360).

81600480 is an abundant number, since it is smaller than the sum of its proper divisors (226182240).

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

81600480 is a wasteful number, since it uses less digits than its factorization.

81600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81600480 is about 9033.2984009165. The cubic root of 81600480 is about 433.7414275201.

The spelling of 81600480 in words is "eighty-one million, six hundred thousand, four hundred eighty".