68042700 has 288 divisors, whose sum is σ = 249984000. Its totient is φ = 15724800.

The previous prime is 68042693. The next prime is 68042707. The reversal of 68042700 is 724086.

It is an interprime number because it is at equal distance from previous prime (68042693) and next prime (68042707).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68042707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861261 + ... + 861339.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 2^68042700 is an apocalyptic number.

68042700 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 68042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

68042700 is an abundant number, since it is smaller than the sum of its proper divisors (181941300).

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

68042700 is a wasteful number, since it uses less digits than its factorization.

68042700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 68042700 is about 8248.7999127146. The cubic root of 68042700 is about 408.2509269589.

Adding to 68042700 its reverse (724086), we get a palindrome (68766786).

The spelling of 68042700 in words is "sixty-eight million, forty-two thousand, seven hundred".