83305040 has 80 divisors (see below), whose sum is σ = 238401408. Its totient is φ = 26362368.

The previous prime is 83305037. The next prime is 83305043. The reversal of 83305040 is 4050338.

It is an interprime number because it is at equal distance from previous prime (83305037) and next prime (83305043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 83304997 and 83305015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83305043) 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, 1559 + ... + 13001.

Almost surely, 2^83305040 is an apocalyptic number.

83305040 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 83305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119200704).

83305040 is an abundant number, since it is smaller than the sum of its proper divisors (155096368).

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

83305040 is a wasteful number, since it uses less digits than its factorization.

83305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 83305040 is about 9127.1594705034. The cubic root of 83305040 is about 436.7407937660.

Adding to 83305040 its reverse (4050338), we get a palindrome (87355378).

The spelling of 83305040 in words is "eighty-three million, three hundred five thousand, forty".