68070400 has 66 divisors (see below), whose sum is σ = 168795620. Its totient is φ = 27217920.

The previous prime is 68070377. The next prime is 68070403. The reversal of 68070400 is 407086.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (68070403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24271 + ... + 26929.

Almost surely, 2^68070400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84397810).

68070400 is an abundant number, since it is smaller than the sum of its proper divisors (100725220).

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

68070400 is a wasteful number, since it uses less digits than its factorization.

68070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 68070400 is about 8250.4787739864. The cubic root of 68070400 is about 408.3063187274.

Adding to 68070400 its reverse (407086), we get a palindrome (68477486).

The spelling of 68070400 in words is "sixty-eight million, seventy thousand, four hundred".