83893040 has 80 divisors (see below), whose sum is σ = 243198720. Its totient is φ = 26146560.

The previous prime is 83893039. The next prime is 83893057. The reversal of 83893040 is 4039838.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (3039984).

Almost surely, 2^83893040 is an apocalyptic number.

83893040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121599360).

83893040 is an abundant number, since it is smaller than the sum of its proper divisors (159305680).

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

83893040 is a wasteful number, since it uses less digits than its factorization.

83893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 83893040 is about 9159.3143848216. The cubic root of 83893040 is about 437.7659487777.

The spelling of 83893040 in words is "eighty-three million, eight hundred ninety-three thousand, forty".