70680 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 17280.

The previous prime is 70667. The next prime is 70687. The reversal of 70680 is 8607.

70680 = T₄₁ + T₄₂ + ... + T₇₈.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁷⁰⁶⁸⁰ 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 70680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

70680 is an abundant number, since it is smaller than the sum of its proper divisors (159720).

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

70680 is a wasteful number, since it uses less digits than its factorization.

70680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 70680 is about 265.8571044753. The cubic root of 70680 is about 41.3458743307.

The spelling of 70680 in words is "seventy thousand, six hundred eighty".