81695952 has 150 divisors (see below), whose sum is σ = 256725942. Its totient is φ = 25069824.

The previous prime is 81695951. The next prime is 81695969. The reversal of 81695952 is 25959618.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 81649296 = 216^2 + 9036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 81695898 and 81695907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81695951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218838 + ... + 219210.

Almost surely, 2^81695952 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 81695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128362971).

81695952 is an abundant number, since it is smaller than the sum of its proper divisors (175029990).

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

81695952 is a wasteful number, since it uses less digits than its factorization.

81695952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 391 counting only the distinct ones).

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

The square root of 81695952 is about 9038.5813046075. The cubic root of 81695952 is about 433.9105197533.

The spelling of 81695952 in words is "eighty-one million, six hundred ninety-five thousand, nine hundred fifty-two".