166552416 has 96 divisors (see below), whose sum is σ = 497185920. Its totient is φ = 54214272.

The previous prime is 166552409. The next prime is 166552427. The reversal of 166552416 is 614255661.

166552416 is a `hidden beast` number, since 1 + 66 + 552 + 41 + 6 = 666.

166552416 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 tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34911 + ... + 39393.

It is an arithmetic number, because the mean of its divisors is an integer number (5179020).

Almost surely, 2^166552416 is an apocalyptic number.

166552416 is a gapful number since it is divisible by the number (16) 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 166552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248592960).

166552416 is an abundant number, since it is smaller than the sum of its proper divisors (330633504).

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

166552416 is a wasteful number, since it uses less digits than its factorization.

166552416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4531 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166552416 is about 12905.5188194818. The cubic root of 166552416 is about 550.1954302745.

The spelling of 166552416 in words is "one hundred sixty-six million, five hundred fifty-two thousand, four hundred sixteen".