945688320 has 216 divisors, whose sum is σ = 3307895136. Its totient is φ = 249421824.

The previous prime is 945688253. The next prime is 945688321. The reversal of 945688320 is 23886549.

945688320 is a `hidden beast` number, since 9 + 4 + 568 + 83 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945688321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186162 + ... + 1186958.

Almost surely, 2^945688320 is an apocalyptic number.

945688320 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 945688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653947568).

945688320 is an abundant number, since it is smaller than the sum of its proper divisors (2362206816).

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

945688320 is a wasteful number, since it uses less digits than its factorization.

945688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 945688320 is about 30752.0457856059. The cubic root of 945688320 is about 981.5580934718.

The spelling of 945688320 in words is "nine hundred forty-five million, six hundred eighty-eight thousand, three hundred twenty".