966287520 has 288 divisors, whose sum is σ = 3668281344. Its totient is φ = 229632000.

The previous prime is 966287489. The next prime is 966287533. The reversal of 966287520 is 25782669.

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 (45).

It is an unprimeable number.

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, 838945 + ... + 840095.

It is an arithmetic number, because the mean of its divisors is an integer number (12737088).

Almost surely, 2^966287520 is an apocalyptic number.

966287520 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 966287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834140672).

966287520 is an abundant number, since it is smaller than the sum of its proper divisors (2701993824).

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

966287520 is a wasteful number, since it uses less digits than its factorization.

966287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 966287520 is about 31085.1655938970. The cubic root of 966287520 is about 988.6338057628.

The spelling of 966287520 in words is "nine hundred sixty-six million, two hundred eighty-seven thousand, five hundred twenty".