82463940 has 192 divisors, whose sum is σ = 292965120. Its totient is φ = 19077120.

The previous prime is 82463921. The next prime is 82463987. The reversal of 82463940 is 4936428.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 82463895 and 82463904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118995 + ... + 119685.

It is an arithmetic number, because the mean of its divisors is an integer number (1525860).

Almost surely, 2^82463940 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 82463940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146482560).

82463940 is an abundant number, since it is smaller than the sum of its proper divisors (210501180).

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

82463940 is a wasteful number, since it uses less digits than its factorization.

82463940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82463940 is about 9080.9658076661. The cubic root of 82463940 is about 435.2659491433.

The spelling of 82463940 in words is "eighty-two million, four hundred sixty-three thousand, nine hundred forty".