68757120 has 256 divisors, whose sum is σ = 255571200. Its totient is φ = 17436672.

The previous prime is 68757113. The next prime is 68757127. The reversal of 68757120 is 2175786.

68757120 is a `hidden beast` number, since 6 + 87 + 571 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68757113) and next prime (68757127).

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 (68757127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397354 + ... + 397526.

It is an arithmetic number, because the mean of its divisors is an integer number (998325).

Almost surely, 2^68757120 is an apocalyptic number.

68757120 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 68757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

68757120 is an abundant number, since it is smaller than the sum of its proper divisors (186814080).

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

68757120 is a wasteful number, since it uses less digits than its factorization.

68757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 68757120 is about 8291.9913169274. The cubic root of 68757120 is about 409.6747767938.

The spelling of 68757120 in words is "sixty-eight million, seven hundred fifty-seven thousand, one hundred twenty".