68946900 has 144 divisors (see below), whose sum is σ = 230610240. Its totient is φ = 15718400.

The previous prime is 68946887. The next prime is 68946907. The reversal of 68946900 is 964986.

It is a super-2 number, since 2×68946900² = 9507350039220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68946907) 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 47 ways as a sum of consecutive naturals, for example, 55486 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^68946900 is an apocalyptic number.

68946900 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 68946900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305120).

68946900 is an abundant number, since it is smaller than the sum of its proper divisors (161663340).

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

68946900 is a wasteful number, since it uses less digits than its factorization.

68946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 68946900 is about 8303.4270033523. The cubic root of 68946900 is about 410.0513518864.

The spelling of 68946900 in words is "sixty-eight million, nine hundred forty-six thousand, nine hundred".