1000166960 has 80 divisors (see below), whose sum is σ = 2613207744. Its totient is φ = 353227776.

The previous prime is 1000166957. The next prime is 1000166969. The reversal of 1000166960 is 696610001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1000166969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3014 + ... + 44826.

Almost surely, 2^1000166960 is an apocalyptic number.

1000166960 is a gapful number since it is divisible by the number (10) 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 1000166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306603872).

1000166960 is an abundant number, since it is smaller than the sum of its proper divisors (1613040784).

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

1000166960 is a wasteful number, since it uses less digits than its factorization.

1000166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41862 (or 41856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1000166960 is about 31625.4163608956. The cubic root of 1000166960 is about 1000.0556502363.

Adding to 1000166960 its reverse (696610001), we get a palindrome (1696776961).

The spelling of 1000166960 in words is "one billion, one hundred sixty-six thousand, nine hundred sixty".