83309640 has 64 divisors (see below), whose sum is σ = 254664000. Its totient is φ = 21795072.

The previous prime is 83309621. The next prime is 83309659. The reversal of 83309640 is 4690338.

It is an interprime number because it is at equal distance from previous prime (83309621) and next prime (83309659).

It is a super-2 number, since 2×83309640² = 13880992233859200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190 + ... + 12909.

It is an arithmetic number, because the mean of its divisors is an integer number (3979125).

Almost surely, 2^83309640 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 83309640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127332000).

83309640 is an abundant number, since it is smaller than the sum of its proper divisors (171354360).

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

83309640 is a wasteful number, since it uses less digits than its factorization.

83309640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 83309640 is about 9127.4114621836. The cubic root of 83309640 is about 436.7488323780.

Adding to 83309640 its reverse (4690338), we get a palindrome (87999978).

The spelling of 83309640 in words is "eighty-three million, three hundred nine thousand, six hundred forty".