966136248 has 480 divisors, whose sum is σ = 3637434240. Its totient is φ = 232657920.

The previous prime is 966136219. The next prime is 966136253. The reversal of 966136248 is 842631669.

966136248 is a `hidden beast` number, since 9 + 6 + 6 + 13 + 624 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14419911 + ... + 14419977.

It is an arithmetic number, because the mean of its divisors is an integer number (7577988).

Almost surely, 2^966136248 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 966136248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818717120).

966136248 is an abundant number, since it is smaller than the sum of its proper divisors (2671297992).

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

966136248 is a wasteful number, since it uses less digits than its factorization.

966136248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 966136248 is about 31082.7323123306. The cubic root of 966136248 is about 988.5822129692.

The spelling of 966136248 in words is "nine hundred sixty-six million, one hundred thirty-six thousand, two hundred forty-eight".