917964240 has 80 divisors (see below), whose sum is σ = 2899421568. Its totient is φ = 240168448.

The previous prime is 917964227. The next prime is 917964241. The reversal of 917964240 is 42469719.

917964240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 917964192 and 917964201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (917964241) 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, 23364 + ... + 48803.

Almost surely, 2^917964240 is an apocalyptic number.

It is an amenable number.

917964240 is an abundant number, since it is smaller than the sum of its proper divisors (1981457328).

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

917964240 is a wasteful number, since it uses less digits than its factorization.

917964240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72236 (or 72230 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 917964240 is about 30297.9246814035. The cubic root of 917964240 is about 971.8709205551.

The spelling of 917964240 in words is "nine hundred seventeen million, nine hundred sixty-four thousand, two hundred forty".