68001900 has 72 divisors (see below), whose sum is σ = 199195584. Its totient is φ = 17908800.

The previous prime is 68001863. The next prime is 68001911. The reversal of 68001900 is 910086.

It is a super-2 number, since 2×68001900² = 9248516807220000, which contains 22 as substring.

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, 23535 + ... + 26265.

Almost surely, 2^68001900 is an apocalyptic number.

68001900 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 68001900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99597792).

68001900 is an abundant number, since it is smaller than the sum of its proper divisors (131193684).

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

68001900 is a wasteful number, since it uses less digits than its factorization.

68001900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 68001900 is about 8246.3264548525. The cubic root of 68001900 is about 408.1693116978.

Adding to 68001900 its reverse (910086), we get a palindrome (68911986).

The spelling of 68001900 in words is "sixty-eight million, one thousand, nine hundred".