166488096 has 48 divisors (see below), whose sum is σ = 437699808. Its totient is φ = 55411200.

The previous prime is 166488071. The next prime is 166488121. The reversal of 166488096 is 690884661.

It is an interprime number because it is at equal distance from previous prime (166488071) and next prime (166488121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×166488096² = 55436572219410432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111676 + ... + 113156.

It is an arithmetic number, because the mean of its divisors is an integer number (9118746).

Almost surely, 2^166488096 is an apocalyptic number.

166488096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166488096 is an abundant number, since it is smaller than the sum of its proper divisors (271211712).

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

166488096 is a wasteful number, since it uses less digits than its factorization.

166488096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 166488096 is about 12903.0266216884. The cubic root of 166488096 is about 550.1245954638.

The spelling of 166488096 in words is "one hundred sixty-six million, four hundred eighty-eight thousand, ninety-six".