68164140 has 144 divisors (see below), whose sum is σ = 215843040. Its totient is φ = 16051200.

The previous prime is 68164139. The next prime is 68164141. The reversal of 68164140 is 4146186.

It is an interprime number because it is at equal distance from previous prime (68164139) and next prime (68164141).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68164098 and 68164107.

It is not an unprimeable number, because it can be changed into a prime (68164141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297546 + ... + 297774.

It is an arithmetic number, because the mean of its divisors is an integer number (1498910).

Almost surely, 2^68164140 is an apocalyptic number.

68164140 is a gapful number since it is divisible by the number (60) 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 68164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107921520).

68164140 is an abundant number, since it is smaller than the sum of its proper divisors (147678900).

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

68164140 is a wasteful number, since it uses less digits than its factorization.

68164140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68164140 is about 8256.1577019822. The cubic root of 68164140 is about 408.4936594725.

The spelling of 68164140 in words is "sixty-eight million, one hundred sixty-four thousand, one hundred forty".