958640625 has 84 divisors (see below), whose sum is σ = 1837242108. Its totient is φ = 480000000.

The previous prime is 958640609. The next prime is 958640629. The reversal of 958640625 is 526046859.

958640625 is a `hidden beast` number, since 9 + 586 + 4 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 954624609 + 4016016 = 30897^2 + 2004^2 .

It is not a de Polignac number, because 958640625 - 2⁴ = 958640609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (958640629) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2390425 + ... + 2390825.

Almost surely, 2^958640625 is an apocalyptic number.

It is an amenable number.

958640625 is a deficient number, since it is larger than the sum of its proper divisors (878601483).

958640625 is an equidigital number, since it uses as much as digits as its factorization.

958640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 958640625 is about 30961.9221787020. The cubic root of 958640625 is about 986.0189838037.

The spelling of 958640625 in words is "nine hundred fifty-eight million, six hundred forty thousand, six hundred twenty-five".