126993360 has 240 divisors, whose sum is σ = 444400128. Its totient is φ = 29952000.

The previous prime is 126993343. The next prime is 126993379. The reversal of 126993360 is 63399621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126993360² = 32254626968179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 1257310 + ... + 1257410.

Almost surely, 2^126993360 is an apocalyptic number.

126993360 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 126993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222200064).

126993360 is an abundant number, since it is smaller than the sum of its proper divisors (317406768).

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

126993360 is a wasteful number, since it uses less digits than its factorization.

126993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 126993360 is about 11269.1330633727. The cubic root of 126993360 is about 502.6438092394.

The spelling of 126993360 in words is "one hundred twenty-six million, nine hundred ninety-three thousand, three hundred sixty".