83745504 has 144 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 26127360.

The previous prime is 83745503. The next prime is 83745517. The reversal of 83745504 is 40554738.

83745504 is a `hidden beast` number, since 83 + 74 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83745503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308889 + ... + 309159.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^83745504 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 83745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

83745504 is an abundant number, since it is smaller than the sum of its proper divisors (170210016).

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

83745504 is a wasteful number, since it uses less digits than its factorization.

83745504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

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

The square root of 83745504 is about 9151.2569628440. The cubic root of 83745504 is about 437.5091768415.

The spelling of 83745504 in words is "eighty-three million, seven hundred forty-five thousand, five hundred four".