946114560 has 416 divisors, whose sum is σ = 3538512000. Its totient is φ = 239468544.

The previous prime is 946114537. The next prime is 946114597. The reversal of 946114560 is 65411649.

946114560 is a `hidden beast` number, since 94 + 6 + 1 + 1 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16035811 + ... + 16035869.

Almost surely, 2^946114560 is an apocalyptic number.

946114560 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 946114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769256000).

946114560 is an abundant number, since it is smaller than the sum of its proper divisors (2592397440).

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

946114560 is a wasteful number, since it uses less digits than its factorization.

946114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 946114560 is about 30758.9752755192. The cubic root of 946114560 is about 981.7055403883.

The spelling of 946114560 in words is "nine hundred forty-six million, one hundred fourteen thousand, five hundred sixty".