83503968 has 48 divisors (see below), whose sum is σ = 225131760. Its totient is φ = 27081216.

The previous prime is 83503967. The next prime is 83503969. The reversal of 83503968 is 86930538.

It is an interprime number because it is at equal distance from previous prime (83503967) and next prime (83503969).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83503967) 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, 8203 + ... + 15306.

It is an arithmetic number, because the mean of its divisors is an integer number (4690245).

Almost surely, 2^83503968 is an apocalyptic number.

It is an amenable number.

83503968 is an abundant number, since it is smaller than the sum of its proper divisors (141627792).

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

83503968 is a wasteful number, since it uses less digits than its factorization.

83503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23559 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 83503968 is about 9138.0505579691. The cubic root of 83503968 is about 437.0881553394.

The spelling of 83503968 in words is "eighty-three million, five hundred three thousand, nine hundred sixty-eight".