166984968 has 64 divisors (see below), whose sum is σ = 437846400. Its totient is φ = 52968960.

The previous prime is 166984967. The next prime is 166984969. The reversal of 166984968 is 869489661.

It is an interprime number because it is at equal distance from previous prime (166984967) and next prime (166984969).

It is a super-2 number, since 2×166984968² = 55767959075922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166984967) 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, 125748 + ... + 127068.

It is an arithmetic number, because the mean of its divisors is an integer number (6841350).

Almost surely, 2^166984968 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 166984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218923200).

166984968 is an abundant number, since it is smaller than the sum of its proper divisors (270861432).

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

166984968 is a wasteful number, since it uses less digits than its factorization.

166984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 166984968 is about 12922.2663646901. The cubic root of 166984968 is about 550.6713213093.

It can be divided in two parts, 16698 and 4968, that multiplied together give a square (82955664 = 9108²).

The spelling of 166984968 in words is "one hundred sixty-six million, nine hundred eighty-four thousand, nine hundred sixty-eight".