81956952 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 21286080.

The previous prime is 81956923. The next prime is 81956957. The reversal of 81956952 is 25965918.

81956952 is a `hidden beast` number, since 81 + 9 + 569 + 5 + 2 = 666.

It is a super-2 number, since 2×81956952² = 13433883962260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81956898 and 81956907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81956957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^81956952 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 81956952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

81956952 is an abundant number, since it is smaller than the sum of its proper divisors (194799528).

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

81956952 is a wasteful number, since it uses less digits than its factorization.

81956952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14813 (or 14806 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 81956952 is about 9053.0078979309. The cubic root of 81956952 is about 434.3721103753.

The spelling of 81956952 in words is "eighty-one million, nine hundred fifty-six thousand, nine hundred fifty-two".