166416744 has 128 divisors (see below), whose sum is σ = 479808000. Its totient is φ = 47672064.

The previous prime is 166416737. The next prime is 166416749. The reversal of 166416744 is 447614661.

166416744 is digitally balanced in base 2, because in such base 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 (39).

It is not an unprimeable number, because it can be changed into a prime (166416749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396967 + ... + 397385.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^166416744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166416744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

166416744 is an abundant number, since it is smaller than the sum of its proper divisors (313391256).

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

166416744 is a wasteful number, since it uses less digits than its factorization.

166416744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 166416744 is about 12900.2613927005. The cubic root of 166416744 is about 550.0459950515.

The spelling of 166416744 in words is "one hundred sixty-six million, four hundred sixteen thousand, seven hundred forty-four".