126649320 has 256 divisors, whose sum is σ = 471744000. Its totient is φ = 27095040.

The previous prime is 126649309. The next prime is 126649333. The reversal of 126649320 is 23946621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699630 + ... + 699810.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^126649320 is an apocalyptic number.

126649320 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 126649320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

126649320 is an abundant number, since it is smaller than the sum of its proper divisors (345094680).

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

126649320 is a wasteful number, since it uses less digits than its factorization.

126649320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 126649320 is about 11253.8580051465. The cubic root of 126649320 is about 502.1894915916.

The spelling of 126649320 in words is "one hundred twenty-six million, six hundred forty-nine thousand, three hundred twenty".