70896 has 40 divisors (see below), whose sum is σ = 210304. Its totient is φ = 20160.

The previous prime is 70891. The next prime is 70901. The reversal of 70896 is 69807.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70891) and next prime (70901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70891) by changing a digit.

70896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 441.

2⁷⁰⁸⁹⁶ 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 70896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105152).

70896 is an abundant number, since it is smaller than the sum of its proper divisors (139408).

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

70896 is a wasteful number, since it uses less digits than its factorization.

70896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

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

The square root of 70896 is about 266.2630278503. The cubic root of 70896 is about 41.3879495372.

Adding to 70896 its product of nonzero digits (3024), we get a triangular number (73920 = T₃₈₄).

Subtracting from 70896 its reverse (69807), we obtain a square (1089 = 33²).

The spelling of 70896 in words is "seventy thousand, eight hundred ninety-six".