946978560 has 576 divisors, whose sum is σ = 3814594560. Its totient is φ = 220446720.

The previous prime is 946978553. The next prime is 946978567. The reversal of 946978560 is 65879649.

946978560 is a `hidden beast` number, since 9 + 4 + 6 + 9 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (946978553) and next prime (946978567).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 946978497 and 946978506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946978567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17867494 + ... + 17867546.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^946978560 is an apocalyptic number.

946978560 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 946978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907297280).

946978560 is an abundant number, since it is smaller than the sum of its proper divisors (2867616000).

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

946978560 is a wasteful number, since it uses less digits than its factorization.

946978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 946978560 is about 30773.0167516934. The cubic root of 946978560 is about 982.0042834656.

The spelling of 946978560 in words is "nine hundred forty-six million, nine hundred seventy-eight thousand, five hundred sixty".