82430040 has 192 divisors, whose sum is σ = 311028480. Its totient is φ = 17107200.

The previous prime is 82430017. The next prime is 82430053. The reversal of 82430040 is 4003428.

It is a happy number.

It is a super-2 number, since 2×82430040² = 13589422988803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 82429989 and 82430016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101235 + ... + 102045.

It is an arithmetic number, because the mean of its divisors is an integer number (1619940).

Almost surely, 2^82430040 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 82430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514240).

82430040 is an abundant number, since it is smaller than the sum of its proper divisors (228598440).

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

82430040 is a wasteful number, since it uses less digits than its factorization.

82430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 82430040 is about 9079.0990742474. The cubic root of 82430040 is about 435.2062966532.

Adding to 82430040 its reverse (4003428), we get a palindrome (86433468).

The spelling of 82430040 in words is "eighty-two million, four hundred thirty thousand, forty".