946611360 has 288 divisors, whose sum is σ = 3397972032. Its totient is φ = 248832000.

The previous prime is 946611353. The next prime is 946611361. The reversal of 946611360 is 63116649.

946611360 is a `hidden beast` number, since 9 + 4 + 6 + 611 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (946611361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3771235 + ... + 3771485.

It is an arithmetic number, because the mean of its divisors is an integer number (11798514).

Almost surely, 2^946611360 is an apocalyptic number.

946611360 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 946611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698986016).

946611360 is an abundant number, since it is smaller than the sum of its proper divisors (2451360672).

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

946611360 is a wasteful number, since it uses less digits than its factorization.

946611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 946611360 is about 30767.0499073278. The cubic root of 946611360 is about 981.8773398698.

The spelling of 946611360 in words is "nine hundred forty-six million, six hundred eleven thousand, three hundred sixty".