83981040 has 160 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 18785280.

The previous prime is 83981033. The next prime is 83981041. The reversal of 83981040 is 4018938.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 83980992 and 83981010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83981041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33097 + ... + 35543.

Almost surely, 2^83981040 is an apocalyptic number.

83981040 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 83981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

83981040 is an abundant number, since it is smaller than the sum of its proper divisors (221999376).

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

83981040 is a wasteful number, since it uses less digits than its factorization.

83981040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83981040 is about 9164.1169787383. The cubic root of 83981040 is about 437.9189608415.

Adding to 83981040 its reverse (4018938), we get a palindrome (87999978).

The spelling of 83981040 in words is "eighty-three million, nine hundred eighty-one thousand, forty".