83385040 has 40 divisors (see below), whose sum is σ = 200130048. Its totient is φ = 32277120.

The previous prime is 83385031. The next prime is 83385047. The reversal of 83385040 is 4058338.

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 (31).

It is a junction number, because it is equal to n+sod(n) for n = 83384993 and 83385011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83385047) 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, 14332 + ... + 19291.

Almost surely, 2^83385040 is an apocalyptic number.

83385040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83385040 is an abundant number, since it is smaller than the sum of its proper divisors (116745008).

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

83385040 is a wasteful number, since it uses less digits than its factorization.

83385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667 (or 33661 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 83385040 is about 9131.5409433458. The cubic root of 83385040 is about 436.8805535577.

The spelling of 83385040 in words is "eighty-three million, three hundred eighty-five thousand, forty".