83725824 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 22044672.

The previous prime is 83725801. The next prime is 83725853. The reversal of 83725824 is 42852738.

It is a hoax number, since the sum of its digits (39) 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 (39).

Its product of digits (107520) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139477 + ... + 140075.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^83725824 is an apocalyptic number.

83725824 is a gapful number since it is divisible by the number (84) 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 83725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

83725824 is an abundant number, since it is smaller than the sum of its proper divisors (191256576).

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

83725824 is a wasteful number, since it uses less digits than its factorization.

83725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 83725824 is about 9150.1816375414. The cubic root of 83725824 is about 437.4749029413.

It can be divided in two parts, 8372 and 5824, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 83725824 in words is "eighty-three million, seven hundred twenty-five thousand, eight hundred twenty-four".