68961000 has 128 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 18144000.

The previous prime is 68960999. The next prime is 68961001. The reversal of 68961000 is 16986.

It is an interprime number because it is at equal distance from previous prime (68960999) and next prime (68961001).

It is a super-3 number, since 3×68961000³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (68961001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380910 + ... + 381090.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^68961000 is an apocalyptic number.

68961000 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 68961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109025280).

68961000 is an abundant number, since it is smaller than the sum of its proper divisors (149089560).

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

68961000 is a wasteful number, since it uses less digits than its factorization.

68961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 68961000 is about 8304.2760069738. The cubic root of 68961000 is about 410.0793025266.

Adding to 68961000 its reverse (16986), we get a palindrome (68977986).

The spelling of 68961000 in words is "sixty-eight million, nine hundred sixty-one thousand".