945129640 has 160 divisors (see below), whose sum is σ = 2675179080. Its totient is φ = 298722816.

The previous prime is 945129631. The next prime is 945129659. The reversal of 945129640 is 46921549.

It can be written as a sum of positive squares in 4 ways, for example, as 644245924 + 300883716 = 25382^2 + 17346^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 945129593 and 945129602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1248142 + ... + 1248898.

Almost surely, 2^945129640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337589540).

945129640 is an abundant number, since it is smaller than the sum of its proper divisors (1730049440).

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

945129640 is a wasteful number, since it uses less digits than its factorization.

945129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 945129640 is about 30742.9608203244. The cubic root of 945129640 is about 981.3647651885.

The spelling of 945129640 in words is "nine hundred forty-five million, one hundred twenty-nine thousand, six hundred forty".