127620 has 36 divisors (see below), whose sum is σ = 387660. Its totient is φ = 33984.

The previous prime is 127609. The next prime is 127637. The reversal of 127620 is 26721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 97344 = 174^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 127593 and 127602.

It is an unprimeable number.

127620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 534.

127620 is a Friedman number, since it can be written as 2127*60, using all its digits and the basic arithmetic operations.

2¹²⁷⁶²⁰ is an apocalyptic number.

127620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127620 is an abundant number, since it is smaller than the sum of its proper divisors (260040).

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

127620 is a wasteful number, since it uses less digits than its factorization.

127620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 127620 is about 357.2394155185. The cubic root of 127620 is about 50.3469206870.

It can be divided in two parts, 1276 and 20, that added together give a 4-th power (1296 = 6⁴).

The spelling of 127620 in words is "one hundred twenty-seven thousand, six hundred twenty".