966248352 has 120 divisors (see below), whose sum is σ = 2860393536. Its totient is φ = 319966848.

The previous prime is 966248323. The next prime is 966248383. The reversal of 966248352 is 253842669.

It is a junction number, because it is equal to n+sod(n) for n = 966248298 and 966248307.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 421353 + ... + 423639.

Almost surely, 2^966248352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966248352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430196768).

966248352 is an abundant number, since it is smaller than the sum of its proper divisors (1894145184).

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

966248352 is a wasteful number, since it uses less digits than its factorization.

966248352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2455 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 966248352 is about 31084.5355763923. The cubic root of 966248352 is about 988.6204476504.

It can be divided in two parts, 96624 and 8352, that added together give a 4-th power (104976 = 18⁴).

The spelling of 966248352 in words is "nine hundred sixty-six million, two hundred forty-eight thousand, three hundred fifty-two".