68218920 has 384 divisors, whose sum is σ = 291133440. Its totient is φ = 13432320.

The previous prime is 68218919. The next prime is 68218921. The reversal of 68218920 is 2981286.

It is an interprime number because it is at equal distance from previous prime (68218919) and next prime (68218921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68218921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637507 + ... + 637613.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 2^68218920 is an apocalyptic number.

68218920 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 68218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145566720).

68218920 is an abundant number, since it is smaller than the sum of its proper divisors (222914520).

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

68218920 is a wasteful number, since it uses less digits than its factorization.

68218920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68218920 is about 8259.4745595589. The cubic root of 68218920 is about 408.6030585928.

The spelling of 68218920 in words is "sixty-eight million, two hundred eighteen thousand, nine hundred twenty".