966723840 has 216 divisors, whose sum is σ = 3453934848. Its totient is φ = 249384960.

The previous prime is 966723839. The next prime is 966723841. The reversal of 966723840 is 48327669.

It is an interprime number because it is at equal distance from previous prime (966723839) and next prime (966723841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966723841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355767 + ... + 358473.

Almost surely, 2^966723840 is an apocalyptic number.

966723840 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 966723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726967424).

966723840 is an abundant number, since it is smaller than the sum of its proper divisors (2487211008).

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

966723840 is a wasteful number, since it uses less digits than its factorization.

966723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 966723840 is about 31092.1829404112. The cubic root of 966723840 is about 988.7825868049.

The spelling of 966723840 in words is "nine hundred sixty-six million, seven hundred twenty-three thousand, eight hundred forty".