68157600 has 144 divisors (see below), whose sum is σ = 253608768. Its totient is φ = 15575040.

The previous prime is 68157587. The next prime is 68157611. The reversal of 68157600 is 675186.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 14772 + ... + 18828.

It is an arithmetic number, because the mean of its divisors is an integer number (1761172).

Almost surely, 2^68157600 is an apocalyptic number.

68157600 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 68157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804384).

68157600 is an abundant number, since it is smaller than the sum of its proper divisors (185451168).

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

68157600 is a wasteful number, since it uses less digits than its factorization.

68157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 68157600 is about 8255.7616244657. The cubic root of 68157600 is about 408.4805947634.

The spelling of 68157600 in words is "sixty-eight million, one hundred fifty-seven thousand, six hundred".