966798000 has 240 divisors, whose sum is σ = 3859592256. Its totient is φ = 220953600.

The previous prime is 966797981. The next prime is 966798017. The reversal of 966798000 is 897669.

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

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

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, 122164 + ... + 129836.

Almost surely, 2^966798000 is an apocalyptic number.

966798000 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 966798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929796128).

966798000 is an abundant number, since it is smaller than the sum of its proper divisors (2892794256).

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

966798000 is a wasteful number, since it uses less digits than its factorization.

966798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 966798000 is about 31093.3755002573. The cubic root of 966798000 is about 988.8078702205.

The spelling of 966798000 in words is "nine hundred sixty-six million, seven hundred ninety-eight thousand".