959140900 has 81 divisors (see below), whose sum is σ = 2210204241. Its totient is φ = 361234080.

The previous prime is 959140879. The next prime is 959140909. The reversal of 959140900 is 9041959.

The square root of 959140900 is 30970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 345290724 + 613850176 = 18582^2 + 24776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 959140900.

It is not an unprimeable number, because it can be changed into a prime (959140909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5884219 + ... + 5884381.

Almost surely, 2^959140900 is an apocalyptic number.

959140900 is the 30970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959140900

959140900 is an abundant number, since it is smaller than the sum of its proper divisors (1251063341).

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

959140900 is a wasteful number, since it uses less digits than its factorization.

959140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The cubic root of 959140900 is about 986.1904748545.

The spelling of 959140900 in words is "nine hundred fifty-nine million, one hundred forty thousand, nine hundred".