953957680 has 120 divisors (see below), whose sum is σ = 2467891152. Its totient is φ = 342531072.

The previous prime is 953957677. The next prime is 953957689. The reversal of 953957680 is 86759359.

953957680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (953957689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499287 + ... + 501193.

Almost surely, 2^953957680 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 953957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233945576).

953957680 is an abundant number, since it is smaller than the sum of its proper divisors (1513933472).

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

953957680 is a wasteful number, since it uses less digits than its factorization.

953957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The square root of 953957680 is about 30886.2053350683. The cubic root of 953957680 is about 984.4107996790.

The spelling of 953957680 in words is "nine hundred fifty-three million, nine hundred fifty-seven thousand, six hundred eighty".