68456700 has 108 divisors (see below), whose sum is σ = 231118888. Its totient is φ = 16848000.

The previous prime is 68456681. The next prime is 68456719. The reversal of 68456700 is 765486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68456681) and next prime (68456719).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8775 + ... + 14625.

Almost surely, 2^68456700 is an apocalyptic number.

68456700 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 68456700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115559444).

68456700 is an abundant number, since it is smaller than the sum of its proper divisors (162662188).

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

68456700 is a wasteful number, since it uses less digits than its factorization.

68456700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68456700 is about 8273.8564164481. The cubic root of 68456700 is about 409.0772426411.

The spelling of 68456700 in words is "sixty-eight million, four hundred fifty-six thousand, seven hundred".