83935840 has 24 divisors (see below), whose sum is σ = 198298800. Its totient is φ = 33574272.

The previous prime is 83935837. The next prime is 83935847. The reversal of 83935840 is 4853938.

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 = 83935793 and 83935802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83935847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262140 + ... + 262459.

It is an arithmetic number, because the mean of its divisors is an integer number (8262450).

Almost surely, 2^83935840 is an apocalyptic number.

83935840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83935840 is an abundant number, since it is smaller than the sum of its proper divisors (114362960).

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

83935840 is a wasteful number, since it uses less digits than its factorization.

83935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524614 (or 524606 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 83935840 is about 9161.6505063225. The cubic root of 83935840 is about 437.8403816399.

The spelling of 83935840 in words is "eighty-three million, nine hundred thirty-five thousand, eight hundred forty".