81962592 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 26357760.

The previous prime is 81962591. The next prime is 81962597. The reversal of 81962592 is 29526918.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81962591) by changing a digit.

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, 452742 + ... + 452922.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^81962592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81962592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

81962592 is an abundant number, since it is smaller than the sum of its proper divisors (140936448).

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

81962592 is a wasteful number, since it uses less digits than its factorization.

81962592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 81962592 is about 9053.3193912509. The cubic root of 81962592 is about 434.3820741529.

The spelling of 81962592 in words is "eighty-one million, nine hundred sixty-two thousand, five hundred ninety-two".