945601956 has 216 divisors, whose sum is σ = 2824993080. Its totient is φ = 264757248.

The previous prime is 945601919. The next prime is 945601961. The reversal of 945601956 is 659106549.

It is a happy number.

945601956 is a `hidden beast` number, since 9 + 456 + 0 + 195 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5198400 + 940403556 = 2280^2 + 30666^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4899396 + ... + 4899588.

Almost surely, 2^945601956 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 945601956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412496540).

945601956 is an abundant number, since it is smaller than the sum of its proper divisors (1879391124).

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

945601956 is a wasteful number, since it uses less digits than its factorization.

945601956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 945601956 is about 30750.6415542831. The cubic root of 945601956 is about 981.5282126390.

The spelling of 945601956 in words is "nine hundred forty-five million, six hundred one thousand, nine hundred fifty-six".