68641600 has 42 divisors (see below), whose sum is σ = 168905174. Its totient is φ = 27456000.

The previous prime is 68641589. The next prime is 68641607. The reversal of 68641600 is 614686.

It can be written as a sum of positive squares in 3 ways, for example, as 10394176 + 58247424 = 3224^2 + 7632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68641607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19851 + ... + 23050.

Almost surely, 2^68641600 is an apocalyptic number.

It is an amenable number.

68641600 is an abundant number, since it is smaller than the sum of its proper divisors (100263574).

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

68641600 is a wasteful number, since it uses less digits than its factorization.

68641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42923 (or 42908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 68641600 is about 8285.0226312304. The cubic root of 68641600 is about 409.4452143418.

It can be divided in two parts, 6864 and 1600, that added together give a square (8464 = 92²).

The spelling of 68641600 in words is "sixty-eight million, six hundred forty-one thousand, six hundred".