948864001 has 8 divisors (see below), whose sum is σ = 987861224. Its totient is φ = 910569600.

The previous prime is 948863989. The next prime is 948864013. The reversal of 948864001 is 100468849.

It is an interprime number because it is at equal distance from previous prime (948863989) and next prime (948864013).

It can be written as a sum of positive squares in 4 ways, for example, as 190412401 + 758451600 = 13799^2 + 27540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 948864001 - 2²⁵ = 915309569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (948864031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172950 + ... + 178351.

It is an arithmetic number, because the mean of its divisors is an integer number (123482653).

Almost surely, 2^948864001 is an apocalyptic number.

It is an amenable number.

948864001 is a deficient number, since it is larger than the sum of its proper divisors (38997223).

948864001 is a wasteful number, since it uses less digits than its factorization.

948864001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351411.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 948864001 is about 30803.6361652322. The cubic root of 948864001 is about 982.6555772340.

The spelling of 948864001 in words is "nine hundred forty-eight million, eight hundred sixty-four thousand, one".