966999600 has 240 divisors, whose sum is σ = 3933795840. Its totient is φ = 221011200.

The previous prime is 966999599. The next prime is 966999611. The reversal of 966999600 is 6999669.

966999600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 69205 + ... + 81995.

It is an arithmetic number, because the mean of its divisors is an integer number (16390816).

Almost surely, 2^966999600 is an apocalyptic number.

966999600 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 966999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966897920).

966999600 is an abundant number, since it is smaller than the sum of its proper divisors (2966796240).

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

966999600 is a wasteful number, since it uses less digits than its factorization.

966999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 966999600 is about 31096.6171793653. The cubic root of 966999600 is about 988.8765953014.

The spelling of 966999600 in words is "nine hundred sixty-six million, nine hundred ninety-nine thousand, six hundred".