83485840 has 40 divisors (see below), whose sum is σ = 198846648. Its totient is φ = 32578560.

The previous prime is 83485811. The next prime is 83485841. The reversal of 83485840 is 4858438.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 83393424 = 304^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 83485793 and 83485802.

It is not an unprimeable number, because it can be changed into a prime (83485841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9447 + ... + 16006.

Almost surely, 2^83485840 is an apocalyptic number.

83485840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83485840 is an abundant number, since it is smaller than the sum of its proper divisors (115360808).

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

83485840 is a wasteful number, since it uses less digits than its factorization.

83485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25507 (or 25501 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 83485840 is about 9137.0586076702. The cubic root of 83485840 is about 437.0565236788.

The spelling of 83485840 in words is "eighty-three million, four hundred eighty-five thousand, eight hundred forty".