86970 has 32 divisors (see below), whose sum is σ = 225792. Its totient is φ = 21312.

The previous prime is 86969. The next prime is 86981. The reversal of 86970 is 7968.

86970 = 20² + 21² + ... + 64².

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

86970 is an abundant number, since it is smaller than the sum of its proper divisors (138822).

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

86970 is a wasteful number, since it uses less digits than its factorization.

86970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

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

The square root of 86970 is about 294.9067649275. The cubic root of 86970 is about 44.3053824732.

It can be divided in two parts, 869 and 70, that added together give a palindrome (939).

The spelling of 86970 in words is "eighty-six thousand, nine hundred seventy".