81982260 has 96 divisors (see below), whose sum is σ = 256945920. Its totient is φ = 21700224.

The previous prime is 81982253. The next prime is 81982267. The reversal of 81982260 is 6228918.

It is an interprime number because it is at equal distance from previous prime (81982253) and next prime (81982267).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81982267) 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, 84297 + ... + 85263.

It is an arithmetic number, because the mean of its divisors is an integer number (2676520).

Almost surely, 2^81982260 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 81982260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128472960).

81982260 is an abundant number, since it is smaller than the sum of its proper divisors (174963660).

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

81982260 is a wasteful number, since it uses less digits than its factorization.

81982260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81982260 is about 9054.4055575173. The cubic root of 81982260 is about 434.4168166012.

The spelling of 81982260 in words is "eighty-one million, nine hundred eighty-two thousand, two hundred sixty".