83492424 has 128 divisors (see below), whose sum is σ = 246604800. Its totient is φ = 26127360.

The previous prime is 83492419. The next prime is 83492429. The reversal of 83492424 is 42429438.

It is an interprime number because it is at equal distance from previous prime (83492419) and next prime (83492429).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83492429) 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, 247584 + ... + 247920.

It is an arithmetic number, because the mean of its divisors is an integer number (1926600).

Almost surely, 2^83492424 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 83492424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123302400).

83492424 is an abundant number, since it is smaller than the sum of its proper divisors (163112376).

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

83492424 is a wasteful number, since it uses less digits than its factorization.

83492424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83492424 is about 9137.4188915689. The cubic root of 83492424 is about 437.0680126711.

The spelling of 83492424 in words is "eighty-three million, four hundred ninety-two thousand, four hundred twenty-four".