68013000 has 256 divisors, whose sum is σ = 258336000. Its totient is φ = 16416000.

The previous prime is 68012983. The next prime is 68013037. The reversal of 68013000 is 31086.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296886 + ... + 297114.

It is an arithmetic number, because the mean of its divisors is an integer number (1009125).

Almost surely, 2^68013000 is an apocalyptic number.

68013000 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 68013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129168000).

68013000 is an abundant number, since it is smaller than the sum of its proper divisors (190323000).

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

68013000 is a wasteful number, since it uses less digits than its factorization.

68013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 68013000 is about 8246.9994543470. Note that the first 3 decimals coincide. The cubic root of 68013000 is about 408.1915190816.

Adding to 68013000 its reverse (31086), we get a palindrome (68044086).

It can be divided in two parts, 6801 and 3000, that added together give a square (9801 = 99²).

The spelling of 68013000 in words is "sixty-eight million, thirteen thousand".