120320 has 40 divisors (see below), whose sum is σ = 294624. Its totient is φ = 47104.

The previous prime is 120319. The next prime is 120331. The reversal of 120320 is 23021.

Adding to 120320 its reverse (23021), we get a palindrome (143341).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 120298 and 120307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2537 + ... + 2583.

2^{120320} is an apocalyptic number.

120320 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 120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

120320 is an abundant number, since it is smaller than the sum of its proper divisors (174304).

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

120320 is an frugal number, since it uses more digits than its factorization.

120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 120320 is about 346.8717342189. The cubic root of 120320 is about 49.3680463422.

The spelling of 120320 in words is "one hundred twenty thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 512 640 752 940 1280 1504 1880 2560 3008 3760 6016 7520 12032 15040 24064 30080 60160 120320

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