81625632 has 72 divisors (see below), whose sum is σ = 235550448. Its totient is φ = 24731520.

The previous prime is 81625613. The next prime is 81625637. The reversal of 81625632 is 23652618.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 81625593 and 81625602.

It is not an unprimeable number, because it can be changed into a prime (81625637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8103 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (3271534).

Almost surely, 2^81625632 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 81625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117775224).

81625632 is an abundant number, since it is smaller than the sum of its proper divisors (153924816).

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

81625632 is a wasteful number, since it uses less digits than its factorization.

81625632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7043 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 81625632 is about 9034.6904761591. The cubic root of 81625632 is about 433.7859874855.

The spelling of 81625632 in words is "eighty-one million, six hundred twenty-five thousand, six hundred thirty-two".