951680 has 32 divisors (see below), whose sum is σ = 2276640. Its totient is φ = 380416.

The previous prime is 951659. The next prime is 951689. The reversal of 951680 is 86159.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (951689) by changing a digit.

951680 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 3 ways as a sum of consecutive naturals, for example, 104 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

2⁹⁵¹⁶⁸⁰ 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 951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320).

951680 is an abundant number, since it is smaller than the sum of its proper divisors (1324960).

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

951680 is a wasteful number, since it uses less digits than its factorization.

951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 951680 is about 975.5408756172. The cubic root of 951680 is about 98.3626711912.

The spelling of 951680 in words is "nine hundred fifty-one thousand, six hundred eighty".