68877360 has 120 divisors (see below), whose sum is σ = 232824384. Its totient is φ = 18247680.

The previous prime is 68877359. The next prime is 68877377. The reversal of 68877360 is 6377886.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×68877360³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194944 + ... + 195296.

Almost surely, 2^68877360 is an apocalyptic number.

68877360 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 68877360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116412192).

68877360 is an abundant number, since it is smaller than the sum of its proper divisors (163947024).

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

68877360 is a wasteful number, since it uses less digits than its factorization.

68877360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 68877360 is about 8299.2385192860. The cubic root of 68877360 is about 409.9134459369.

The spelling of 68877360 in words is "sixty-eight million, eight hundred seventy-seven thousand, three hundred sixty".