964688040 has 96 divisors (see below), whose sum is σ = 3139273800. Its totient is φ = 256919040.

The previous prime is 964688027. The next prime is 964688047. The reversal of 964688040 is 40886469.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 738426276 + 226261764 = 27174^2 + 15042^2 .

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

It is not an unprimeable number, because it can be changed into a prime (964688047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424026 + ... + 426294.

Almost surely, 2^964688040 is an apocalyptic number.

964688040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

964688040 is an abundant number, since it is smaller than the sum of its proper divisors (2174585760).

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

964688040 is a wasteful number, since it uses less digits than its factorization.

964688040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 964688040 is about 31059.4275542870. The cubic root of 964688040 is about 988.0880146913.

The spelling of 964688040 in words is "nine hundred sixty-four million, six hundred eighty-eight thousand, forty".