83745540 has 144 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 20666880.

The previous prime is 83745523. The next prime is 83745551. The reversal of 83745540 is 4554738.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83745495 and 83745504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160480 + ... + 161000.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^83745540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

83745540 is an abundant number, since it is smaller than the sum of its proper divisors (189865980).

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

83745540 is a wasteful number, since it uses less digits than its factorization.

83745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 83745540 is about 9151.2589297867. The cubic root of 83745540 is about 437.5092395328.

The spelling of 83745540 in words is "eighty-three million, seven hundred forty-five thousand, five hundred forty".