81870480 has 160 divisors (see below), whose sum is σ = 291945600. Its totient is φ = 21063168.

The previous prime is 81870469. The next prime is 81870493. The reversal of 81870480 is 8407818.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61987 + ... + 63293.

It is an arithmetic number, because the mean of its divisors is an integer number (1824660).

Almost surely, 2^81870480 is an apocalyptic number.

81870480 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 81870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972800).

81870480 is an abundant number, since it is smaller than the sum of its proper divisors (210075120).

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

81870480 is a wasteful number, since it uses less digits than its factorization.

81870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 81870480 is about 9048.2307662880. The cubic root of 81870480 is about 434.2192893229.

The spelling of 81870480 in words is "eighty-one million, eight hundred seventy thousand, four hundred eighty".