83809440 has 432 divisors, whose sum is σ = 347694984. Its totient is φ = 18247680.

The previous prime is 83809423. The next prime is 83809469. The reversal of 83809440 is 4490838.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 14653584 = 8316^2 + 3828^2 .

It is a super-2 number, since 2×83809440² = 14048044466227200, which contains 22 as substring.

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 = 83809395 and 83809404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265102 + ... + 2265138.

Almost surely, 2^83809440 is an apocalyptic number.

83809440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847492).

83809440 is an abundant number, since it is smaller than the sum of its proper divisors (263885544).

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

83809440 is a wasteful number, since it uses less digits than its factorization.

83809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83809440 is about 9154.7495869630. The cubic root of 83809440 is about 437.6204881749.

The spelling of 83809440 in words is "eighty-three million, eight hundred nine thousand, four hundred forty".