83006640 has 160 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 21821184.

The previous prime is 83006633. The next prime is 83006647. The reversal of 83006640 is 4660038.

It is an interprime number because it is at equal distance from previous prime (83006633) and next prime (83006647).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83006647) 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, 179049 + ... + 179511.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 2^83006640 is an apocalyptic number.

83006640 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 83006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

83006640 is an abundant number, since it is smaller than the sum of its proper divisors (206974800).

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

83006640 is a wasteful number, since it uses less digits than its factorization.

83006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83006640 is about 9110.7979891994. The cubic root of 83006640 is about 436.2186990238.

Adding to 83006640 its reverse (4660038), we get a palindrome (87666678).

The spelling of 83006640 in words is "eighty-three million, six thousand, six hundred forty".