83279040 has 112 divisors (see below), whose sum is σ = 284792928. Its totient is φ = 20496384.

The previous prime is 83279023. The next prime is 83279041. The reversal of 83279040 is 4097238.

It is a junction number, because it is equal to n+sod(n) for n = 83278992 and 83279010.

It is not an unprimeable number, because it can be changed into a prime (83279041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9144 + ... + 15816.

It is an arithmetic number, because the mean of its divisors is an integer number (2542794).

Almost surely, 2^83279040 is an apocalyptic number.

83279040 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 83279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142396464).

83279040 is an abundant number, since it is smaller than the sum of its proper divisors (201513888).

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

83279040 is a wasteful number, since it uses less digits than its factorization.

83279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 83279040 is about 9125.7350388886. The cubic root of 83279040 is about 436.6953525691.

The spelling of 83279040 in words is "eighty-three million, two hundred seventy-nine thousand, forty".