953105664 has 432 divisors, whose sum is σ = 3280865280. Its totient is φ = 243855360.

The previous prime is 953105653. The next prime is 953105669. The reversal of 953105664 is 466501359.

It is a super-3 number, since 3×953105664³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953105669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22165227 + ... + 22165269.

Almost surely, 2^953105664 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 953105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640432640).

953105664 is an abundant number, since it is smaller than the sum of its proper divisors (2327759616).

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

953105664 is a wasteful number, since it uses less digits than its factorization.

953105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 953105664 is about 30872.4094297805. The cubic root of 953105664 is about 984.1176407701.

The spelling of 953105664 in words is "nine hundred fifty-three million, one hundred five thousand, six hundred sixty-four".