81465384 has 128 divisors (see below), whose sum is σ = 273530880. Its totient is φ = 19526400.

The previous prime is 81465361. The next prime is 81465409. The reversal of 81465384 is 48356418.

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

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, 22329 + ... + 25719.

It is an arithmetic number, because the mean of its divisors is an integer number (2136960).

Almost surely, 2^81465384 is an apocalyptic number.

81465384 is a gapful number since it is divisible by the number (84) 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 81465384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136765440).

81465384 is an abundant number, since it is smaller than the sum of its proper divisors (192065496).

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

81465384 is a wasteful number, since it uses less digits than its factorization.

81465384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3427 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 81465384 is about 9025.8176360926. The cubic root of 81465384 is about 433.5019309762.

It can be divided in two parts, 8146 and 5384, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 81465384 in words is "eighty-one million, four hundred sixty-five thousand, three hundred eighty-four".