953427648 has 112 divisors (see below), whose sum is σ = 2694041856. Its totient is φ = 296862720.

The previous prime is 953427641. The next prime is 953427679. The reversal of 953427648 is 846724359.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 953427597 and 953427606.

It is not an unprimeable number, because it can be changed into a prime (953427641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187378 + ... + 192398.

Almost surely, 2^953427648 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 953427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347020928).

953427648 is an abundant number, since it is smaller than the sum of its proper divisors (1740614208).

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

953427648 is a wasteful number, since it uses less digits than its factorization.

953427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5092 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 953427648 is about 30877.6237427688. The cubic root of 953427648 is about 984.2284485119.

The spelling of 953427648 in words is "nine hundred fifty-three million, four hundred twenty-seven thousand, six hundred forty-eight".