177940 has 48 divisors (see below), whose sum is σ = 451584. Its totient is φ = 57600.

The previous prime is 177929. The next prime is 177943. The reversal of 177940 is 49771.

177940 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 177899 and 177908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (177943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4320 + ... + 4360.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2¹⁷⁷⁹⁴⁰ is an apocalyptic number.

177940 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 177940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

177940 is an abundant number, since it is smaller than the sum of its proper divisors (273644).

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

177940 is a wasteful number, since it uses less digits than its factorization.

177940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 177940 is about 421.8293493820. The cubic root of 177940 is about 56.2459420941.

The spelling of 177940 in words is "one hundred seventy-seven thousand, nine hundred forty".