68048100 has 180 divisors, whose sum is σ = 228540928. Its totient is φ = 17496000.

The previous prime is 68048077. The next prime is 68048107. The reversal of 68048100 is 184086.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×68048100² = 9261087827220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68048107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250965 + ... + 251235.

Almost surely, 2^68048100 is an apocalyptic number.

68048100 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 68048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114270464).

68048100 is an abundant number, since it is smaller than the sum of its proper divisors (160492828).

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

68048100 is a wasteful number, since it uses less digits than its factorization.

68048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68048100 is about 8249.1272265616. The cubic root of 68048100 is about 408.2617265337.

The spelling of 68048100 in words is "sixty-eight million, forty-eight thousand, one hundred".