166676040 has 96 divisors (see below), whose sum is σ = 546886080. Its totient is φ = 44021376.

The previous prime is 166676039. The next prime is 166676077. The reversal of 166676040 is 40676661.

166676040 = 393² + 394² + ... + 824².

166676040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 166675986 and 166676004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36357 + ... + 40683.

It is an arithmetic number, because the mean of its divisors is an integer number (5696730).

Almost surely, 2^166676040 is an apocalyptic number.

166676040 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 166676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273443040).

166676040 is an abundant number, since it is smaller than the sum of its proper divisors (380210040).

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

166676040 is a wasteful number, since it uses less digits than its factorization.

166676040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 166676040 is about 12910.3075098930. The cubic root of 166676040 is about 550.3315246440.

The spelling of 166676040 in words is "one hundred sixty-six million, six hundred seventy-six thousand, forty".