166031040 has 224 divisors, whose sum is σ = 622669824. Its totient is φ = 36679680.

The previous prime is 166031039. The next prime is 166031051. The reversal of 166031040 is 40130661.

166031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 166030998 and 166031016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207922 + ... + 208718.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2^166031040 is an apocalyptic number.

166031040 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 166031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334912).

166031040 is an abundant number, since it is smaller than the sum of its proper divisors (456638784).

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

166031040 is a wasteful number, since it uses less digits than its factorization.

166031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 166031040 is about 12885.3032560355. The cubic root of 166031040 is about 549.6207192238.

The spelling of 166031040 in words is "one hundred sixty-six million, thirty-one thousand, forty".