81436032 has 96 divisors (see below), whose sum is σ = 236134080. Its totient is φ = 26938368.

The previous prime is 81436013. The next prime is 81436051. The reversal of 81436032 is 23063418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81436013) and next prime (81436051).

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

It is a junction number, because it is equal to n+sod(n) for n = 81435987 and 81436005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256738 + ... + 257054.

It is an arithmetic number, because the mean of its divisors is an integer number (2459730).

Almost surely, 2^81436032 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 81436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118067040).

81436032 is an abundant number, since it is smaller than the sum of its proper divisors (154698048).

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

81436032 is a wasteful number, since it uses less digits than its factorization.

81436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 81436032 is about 9024.1914873300. The cubic root of 81436032 is about 433.4498611009.

Subtracting from 81436032 its product of nonzero digits (3456), we obtain a square (81432576 = 9024²).

The spelling of 81436032 in words is "eighty-one million, four hundred thirty-six thousand, thirty-two".