126349320 has 64 divisors (see below), whose sum is σ = 380312640. Its totient is φ = 33580800.

The previous prime is 126349309. The next prime is 126349343. The reversal of 126349320 is 23943621.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38130 + ... + 41310.

It is an arithmetic number, because the mean of its divisors is an integer number (5942385).

Almost surely, 2^126349320 is an apocalyptic number.

126349320 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 126349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190156320).

126349320 is an abundant number, since it is smaller than the sum of its proper divisors (253963320).

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

126349320 is a wasteful number, since it uses less digits than its factorization.

126349320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 126349320 is about 11240.5213402226. The cubic root of 126349320 is about 501.7926584038.

The spelling of 126349320 in words is "one hundred twenty-six million, three hundred forty-nine thousand, three hundred twenty".