126330320 has 40 divisors (see below), whose sum is σ = 294285480. Its totient is φ = 50434560.

The previous prime is 126330319. The next prime is 126330331. The reversal of 126330320 is 23033621.

It can be written as a sum of positive squares in 4 ways, for example, as 13630864 + 112699456 = 3692^2 + 10616^2 .

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 126330292 and 126330301.

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, 51686 + ... + 54074.

It is an arithmetic number, because the mean of its divisors is an integer number (7357137).

Almost surely, 2^126330320 is an apocalyptic number.

126330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126330320 is an abundant number, since it is smaller than the sum of its proper divisors (167955160).

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

126330320 is a wasteful number, since it uses less digits than its factorization.

126330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 126330320 is about 11239.6761519183. The cubic root of 126330320 is about 501.7675044933.

Adding to 126330320 its reverse (23033621), we get a palindrome (149363941).

The spelling of 126330320 in words is "one hundred twenty-six million, three hundred thirty thousand, three hundred twenty".