945089640 has 512 divisors, whose sum is σ = 3732480000. Its totient is φ = 210263040.

The previous prime is 945089627. The next prime is 945089657. The reversal of 945089640 is 46980549.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11963121 + ... + 11963199.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2^945089640 is an apocalyptic number.

945089640 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 945089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866240000).

945089640 is an abundant number, since it is smaller than the sum of its proper divisors (2787390360).

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

945089640 is a wasteful number, since it uses less digits than its factorization.

945089640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 945089640 is about 30742.3102580141. The cubic root of 945089640 is about 981.3509204760.

The spelling of 945089640 in words is "nine hundred forty-five million, eighty-nine thousand, six hundred forty".