953306640 has 480 divisors, whose sum is σ = 3860752896. Its totient is φ = 207728640.

The previous prime is 953306623. The next prime is 953306693. The reversal of 953306640 is 46603359.

953306640 is a `hidden beast` number, since 9 + 5 + 3 + 3 + 0 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 953306595 and 953306604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4839022 + ... + 4839218.

Almost surely, 2^953306640 is an apocalyptic number.

953306640 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 953306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

953306640 is an abundant number, since it is smaller than the sum of its proper divisors (2907446256).

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

953306640 is a wasteful number, since it uses less digits than its factorization.

953306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 953306640 is about 30875.6642033819. The cubic root of 953306640 is about 984.1868076821.

Adding to 953306640 its reverse (46603359), we get a palindrome (999909999).

The spelling of 953306640 in words is "nine hundred fifty-three million, three hundred six thousand, six hundred forty".