81337440 has 96 divisors (see below), whose sum is σ = 262525536. Its totient is φ = 21155840.

The previous prime is 81337411. The next prime is 81337511. The reversal of 81337440 is 4473318.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 81337398 and 81337407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17614 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (2734641).

Almost surely, 2^81337440 is an apocalyptic number.

81337440 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 81337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131262768).

81337440 is an abundant number, since it is smaller than the sum of its proper divisors (181188096).

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

81337440 is a wasteful number, since it uses less digits than its factorization.

81337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 81337440 is about 9018.7271829233. The cubic root of 81337440 is about 433.2748691671.

The spelling of 81337440 in words is "eighty-one million, three hundred thirty-seven thousand, four hundred forty".