166115840 has 160 divisors (see below), whose sum is σ = 461381184. Its totient is φ = 56688640.

The previous prime is 166115819. The next prime is 166115843. The reversal of 166115840 is 48511661.

166115840 is digitally balanced in base 3, 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 166115797 and 166115806.

It is not an unprimeable number, because it can be changed into a prime (166115843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478547 + ... + 478893.

Almost surely, 2^166115840 is an apocalyptic number.

166115840 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 166115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230690592).

166115840 is an abundant number, since it is smaller than the sum of its proper divisors (295265344).

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

166115840 is a wasteful number, since it uses less digits than its factorization.

166115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 166115840 is about 12888.5934065747. The cubic root of 166115840 is about 549.7142758349.

The spelling of 166115840 in words is "one hundred sixty-six million, one hundred fifteen thousand, eight hundred forty".