166164480 has 192 divisors, whose sum is σ = 591645600. Its totient is φ = 44236800.

The previous prime is 166164469. The next prime is 166164491. The reversal of 166164480 is 84461661.

166164480 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166164469) and next prime (166164491).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×166164480² = 55221268827340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276180 + ... + 276780.

Almost surely, 2^166164480 is an apocalyptic number.

166164480 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 166164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295822800).

166164480 is an abundant number, since it is smaller than the sum of its proper divisors (425481120).

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

166164480 is an equidigital number, since it uses as much as digits as its factorization.

166164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166164480 is about 12890.4802082777. The cubic root of 166164480 is about 549.7679241265.

The spelling of 166164480 in words is "one hundred sixty-six million, one hundred sixty-four thousand, four hundred eighty".