83459040 has 192 divisors, whose sum is σ = 306270720. Its totient is φ = 18708480.

The previous prime is 83459029. The next prime is 83459063. The reversal of 83459040 is 4095438.

It is a super-2 number, since 2×83459040² = 13930822715443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83458992 and 83459010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198030 + ... + 198450.

It is an arithmetic number, because the mean of its divisors is an integer number (1595160).

Almost surely, 2^83459040 is an apocalyptic number.

83459040 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 83459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).

83459040 is an abundant number, since it is smaller than the sum of its proper divisors (222811680).

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

83459040 is a wasteful number, since it uses less digits than its factorization.

83459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 83459040 is about 9135.5919348447. The cubic root of 83459040 is about 437.0097518015.

The spelling of 83459040 in words is "eighty-three million, four hundred fifty-nine thousand, forty".