81632460 has 96 divisors (see below), whose sum is σ = 281336832. Its totient is φ = 17222400.

The previous prime is 81632449. The next prime is 81632461. The reversal of 81632460 is 6423618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (81632461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (2930592).

Almost surely, 2^81632460 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 81632460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140668416).

81632460 is an abundant number, since it is smaller than the sum of its proper divisors (199704372).

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

81632460 is a wasteful number, since it uses less digits than its factorization.

81632460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 81632460 is about 9035.0683450652. The cubic root of 81632460 is about 433.7980825756.

The spelling of 81632460 in words is "eighty-one million, six hundred thirty-two thousand, four hundred sixty".