83365740 has 96 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 22108608.

The previous prime is 83365729. The next prime is 83365747. The reversal of 83365740 is 4756338.

It is a happy number.

83365740 is a `hidden beast` number, since 83 + 3 + 6 + 574 + 0 = 666.

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 = 83365695 and 83365704.

It is not an unprimeable number, because it can be changed into a prime (83365747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141727 + ... + 142313.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2^83365740 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 83365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

83365740 is an abundant number, since it is smaller than the sum of its proper divisors (177424020).

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

83365740 is a wasteful number, since it uses less digits than its factorization.

83365740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 83365740 is about 9130.4841054568. The cubic root of 83365740 is about 436.8468446922.

The spelling of 83365740 in words is "eighty-three million, three hundred sixty-five thousand, seven hundred forty".