68436900 has 360 divisors, whose sum is σ = 272232576. Its totient is φ = 14515200.

The previous prime is 68436899. The next prime is 68436911. The reversal of 68436900 is 963486.

It is a super-2 number, since 2×68436900² = 9367218563220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 963865 + ... + 963935.

Almost surely, 2^68436900 is an apocalyptic number.

68436900 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 68436900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

68436900 is an abundant number, since it is smaller than the sum of its proper divisors (203795676).

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

68436900 is a wasteful number, since it uses less digits than its factorization.

68436900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 68436900 is about 8272.6597899346. The cubic root of 68436900 is about 409.0377991659.

The spelling of 68436900 in words is "sixty-eight million, four hundred thirty-six thousand, nine hundred".