68133040 has 80 divisors (see below), whose sum is σ = 165989376. Its totient is φ = 25977600.

The previous prime is 68133007. The next prime is 68133047. The reversal of 68133040 is 4033186.

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

It is a super-2 number, since 2×68133040² = 9284222279283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68132996 and 68133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68133047) 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, 205675 + ... + 206005.

Almost surely, 2^68133040 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 68133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688).

68133040 is an abundant number, since it is smaller than the sum of its proper divisors (97856336).

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

68133040 is a wasteful number, since it uses less digits than its factorization.

68133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 68133040 is about 8254.2740443966. The cubic root of 68133040 is about 408.4315247225.

The spelling of 68133040 in words is "sixty-eight million, one hundred thirty-three thousand, forty".