83829024 has 72 divisors (see below), whose sum is σ = 246633660. Its totient is φ = 26976768.

The previous prime is 83828999. The next prime is 83829037. The reversal of 83829024 is 42092838.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 435600 = 9132^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83829024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334 + ... + 13370.

Almost surely, 2^83829024 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 83829024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123316830).

83829024 is an abundant number, since it is smaller than the sum of its proper divisors (162804636).

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

83829024 is a wasteful number, since it uses less digits than its factorization.

83829024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10082 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83829024 is about 9155.8191332070. The cubic root of 83829024 is about 437.6545722119.

The spelling of 83829024 in words is "eighty-three million, eight hundred twenty-nine thousand, twenty-four".