166752768 has 160 divisors (see below), whose sum is σ = 547214976. Its totient is φ = 43941888.

The previous prime is 166752767. The next prime is 166752769. The reversal of 166752768 is 867257661.

It is an interprime number because it is at equal distance from previous prime (166752767) and next prime (166752769).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (166752767) 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, 139180 + ... + 140372.

Almost surely, 2^166752768 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 166752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273607488).

166752768 is an abundant number, since it is smaller than the sum of its proper divisors (380462208).

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

166752768 is a wasteful number, since it uses less digits than its factorization.

166752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1218 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 166752768 is about 12913.2787470882. The cubic root of 166752768 is about 550.4159586143.

The spelling of 166752768 in words is "one hundred sixty-six million, seven hundred fifty-two thousand, seven hundred sixty-eight".