83754440 has 128 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 25670400.

The previous prime is 83754439. The next prime is 83754449. The reversal of 83754440 is 4445738.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83754440.

It is not an unprimeable number, because it can be changed into a prime (83754449) 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, 218489 + ... + 218871.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 2^83754440 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 83754440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

83754440 is an abundant number, since it is smaller than the sum of its proper divisors (155124280).

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

83754440 is a wasteful number, since it uses less digits than its factorization.

83754440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 83754440 is about 9151.7451887604. The cubic root of 83754440 is about 437.5247376488.

The spelling of 83754440 in words is "eighty-three million, seven hundred fifty-four thousand, four hundred forty".