83375040 has 224 divisors, whose sum is σ = 318942720. Its totient is φ = 18026496.

The previous prime is 83374999. The next prime is 83375093. The reversal of 83375040 is 4057338.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83374989 and 83375007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127354 + ... + 128006.

Almost surely, 2^83375040 is an apocalyptic number.

83375040 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 83375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159471360).

83375040 is an abundant number, since it is smaller than the sum of its proper divisors (235567680).

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

83375040 is a wasteful number, since it uses less digits than its factorization.

83375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 83375040 is about 9130.9933742173. The cubic root of 83375040 is about 436.8630884737.

The spelling of 83375040 in words is "eighty-three million, three hundred seventy-five thousand, forty".