68970 has 48 divisors (see below), whose sum is σ = 191520. Its totient is φ = 15840.

The previous prime is 68963. The next prime is 68993. The reversal of 68970 is 7986.

68970 = T₂₀ + T₂₁ + ... + T₇₄.

68970 = 16² + 17² + ... + 59².

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

68970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3621 + ... + 3639.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁶⁸⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

68970 is an abundant number, since it is smaller than the sum of its proper divisors (122550).

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

68970 is a wasteful number, since it uses less digits than its factorization.

68970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 68970 is about 262.6214004989. The cubic root of 68970 is about 41.0097141369.

The spelling of 68970 in words is "sixty-eight thousand, nine hundred seventy".