123368160 has 48 divisors (see below), whose sum is σ = 388611216. Its totient is φ = 32898048.

The previous prime is 123368149. The next prime is 123368171. The reversal of 123368160 is 61863321.

It is an interprime number because it is at equal distance from previous prime (123368149) and next prime (123368171).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128029 + ... + 128988.

It is an arithmetic number, because the mean of its divisors is an integer number (8096067).

Almost surely, 2^123368160 is an apocalyptic number.

123368160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123368160 is an abundant number, since it is smaller than the sum of its proper divisors (265243056).

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

123368160 is a wasteful number, since it uses less digits than its factorization.

123368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257035 (or 257027 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 123368160 is about 11107.1220394844. The cubic root of 123368160 is about 497.8146759662.

The spelling of 123368160 in words is "one hundred twenty-three million, three hundred sixty-eight thousand, one hundred sixty".