179997120 has 224 divisors, whose sum is σ = 645200640. Its totient is φ = 47232000.

The previous prime is 179997091. The next prime is 179997121. The reversal of 179997120 is 21799971.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (179997121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716995 + ... + 717245.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^179997120 is an apocalyptic number.

179997120 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 179997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

179997120 is an abundant number, since it is smaller than the sum of its proper divisors (465203520).

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

179997120 is a wasteful number, since it uses less digits than its factorization.

179997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 179997120 is about 13416.3005333065. The cubic root of 179997120 is about 564.6186059973.

The spelling of 179997120 in words is "one hundred seventy-nine million, nine hundred ninety-seven thousand, one hundred twenty".