68182640 has 80 divisors (see below), whose sum is σ = 172369920. Its totient is φ = 24986880.

The previous prime is 68182627. The next prime is 68182643. The reversal of 68182640 is 4628186.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68182640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68182643) 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, 46397 + ... + 47843.

It is an arithmetic number, because the mean of its divisors is an integer number (2154624).

Almost surely, 2^68182640 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 68182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184960).

68182640 is an abundant number, since it is smaller than the sum of its proper divisors (104187280).

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

68182640 is a wasteful number, since it uses less digits than its factorization.

68182640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68182640 is about 8257.2780018599. The cubic root of 68182640 is about 408.5306116936.

The spelling of 68182640 in words is "sixty-eight million, one hundred eighty-two thousand, six hundred forty".