83005040 has 20 divisors (see below), whose sum is σ = 192986904. Its totient is φ = 33201984.

The previous prime is 83005037. The next prime is 83005051. The reversal of 83005040 is 4050038.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 518702 + ... + 518861.

Almost surely, 2^83005040 is an apocalyptic number.

83005040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83005040 is an abundant number, since it is smaller than the sum of its proper divisors (109981864).

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

83005040 is a wasteful number, since it uses less digits than its factorization.

83005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037576 (or 1037570 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83005040 is about 9110.7101808805. The cubic root of 83005040 is about 436.2158962183.

Adding to 83005040 its reverse (4050038), we get a palindrome (87055078).

The spelling of 83005040 in words is "eighty-three million, five thousand, forty".