966906720 has 288 divisors, whose sum is σ = 3686915232. Its totient is φ = 237883392.

The previous prime is 966906697. The next prime is 966906737. The reversal of 966906720 is 27609669.

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

It is a super-3 number, since 3×966906720³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504484 + ... + 506396.

It is an arithmetic number, because the mean of its divisors is an integer number (12801789).

Almost surely, 2^966906720 is an apocalyptic number.

966906720 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 966906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843457616).

966906720 is an abundant number, since it is smaller than the sum of its proper divisors (2720008512).

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

966906720 is a wasteful number, since it uses less digits than its factorization.

966906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 966906720 is about 31095.1237334731. The cubic root of 966906720 is about 988.8449338615.

The spelling of 966906720 in words is "nine hundred sixty-six million, nine hundred six thousand, seven hundred twenty".