70688 has 18 divisors (see below), whose sum is σ = 142191. Its totient is φ = 34592.

The previous prime is 70687. The next prime is 70709. The reversal of 70688 is 88607.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 35344 = 188^2 + 188^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=188.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 70688.

It is not an unprimeable number, because it can be changed into a prime (70687) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1481 + ... + 1527.

2⁷⁰⁶⁸⁸ 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 70688

70688 is an abundant number, since it is smaller than the sum of its proper divisors (71503).

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

70688 is an equidigital number, since it uses as much as digits as its factorization.

70688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 70688 is about 265.8721497261. The cubic root of 70688 is about 41.3474341992.

It can be divided in two parts, 706 and 88, that multiplied together give a triangular number (62128 = T₃₅₂).

The spelling of 70688 in words is "seventy thousand, six hundred eighty-eight".