83029440 has 112 divisors (see below), whose sum is σ = 283939488. Its totient is φ = 20434944.

The previous prime is 83029423. The next prime is 83029481. The reversal of 83029440 is 4492038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83029398 and 83029407.

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, 9154 + ... + 15806.

It is an arithmetic number, because the mean of its divisors is an integer number (2535174).

Almost surely, 2^83029440 is an apocalyptic number.

83029440 is a gapful number since it is divisible by the number (80) 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 83029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141969744).

83029440 is an abundant number, since it is smaller than the sum of its proper divisors (200910048).

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

83029440 is a wasteful number, since it uses less digits than its factorization.

83029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6686 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 83029440 is about 9112.0491658024. The cubic root of 83029440 is about 436.2586350893.

The spelling of 83029440 in words is "eighty-three million, twenty-nine thousand, four hundred forty".