166155600 has 120 divisors (see below), whose sum is σ = 573248032. Its totient is φ = 40896000.

The previous prime is 166155547. The next prime is 166155607. The reversal of 166155600 is 6551661.

166155600 is digitally balanced in base 2, 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 (120).

It is a super-2 number, since 2×166155600² = 55215366822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166155607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10275 + ... + 20925.

Almost surely, 2^166155600 is an apocalyptic number.

166155600 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 166155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286624016).

166155600 is an abundant number, since it is smaller than the sum of its proper divisors (407092432).

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

166155600 is a wasteful number, since it uses less digits than its factorization.

166155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 166155600 is about 12890.1357634433. The cubic root of 166155600 is about 549.7581305651.

The spelling of 166155600 in words is "one hundred sixty-six million, one hundred fifty-five thousand, six hundred".