953648640 has 560 divisors, whose sum is σ = 3971629728. Its totient is φ = 214990848.

The previous prime is 953648623. The next prime is 953648651. The reversal of 953648640 is 46846359.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063644 + ... + 13063716.

Almost surely, 2^953648640 is an apocalyptic number.

953648640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985814864).

953648640 is an abundant number, since it is smaller than the sum of its proper divisors (3017981088).

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

953648640 is an frugal number, since it uses more digits than its factorization.

953648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 953648640 is about 30881.2020491431. The cubic root of 953648640 is about 984.3044863776.

The spelling of 953648640 in words is "nine hundred fifty-three million, six hundred forty-eight thousand, six hundred forty".