166507740 has 144 divisors (see below), whose sum is σ = 583285248. Its totient is φ = 37660032.

The previous prime is 166507723. The next prime is 166507771. The reversal of 166507740 is 47705661.

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 = 166507695 and 166507704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129139 + ... + 130421.

It is an arithmetic number, because the mean of its divisors is an integer number (4050592).

Almost surely, 2^166507740 is an apocalyptic number.

166507740 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 166507740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291642624).

166507740 is an abundant number, since it is smaller than the sum of its proper divisors (416777508).

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

166507740 is a wasteful number, since it uses less digits than its factorization.

166507740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 166507740 is about 12903.7878159864. The cubic root of 166507740 is about 550.1462310899.

The spelling of 166507740 in words is "one hundred sixty-six million, five hundred seven thousand, seven hundred forty".