81045952 has 56 divisors (see below), whose sum is σ = 179222400. Its totient is φ = 36105216.

The previous prime is 81045949. The next prime is 81045967. The reversal of 81045952 is 25954018.

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 7 ways as a sum of consecutive naturals, for example, 22449 + ... + 25807.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^81045952 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 81045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

81045952 is an abundant number, since it is smaller than the sum of its proper divisors (98176448).

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

81045952 is a wasteful number, since it uses less digits than its factorization.

81045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 81045952 is about 9002.5525269226. The cubic root of 81045952 is about 432.7566756892.

The spelling of 81045952 in words is "eighty-one million, forty-five thousand, nine hundred fifty-two".