126953360 has 40 divisors (see below), whose sum is σ = 297945216. Its totient is φ = 50303360.

The previous prime is 126953357. The next prime is 126953381. The reversal of 126953360 is 63359621.

126953360 = 195² + 196² + ... + 729².

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

It is a super-2 number, since 2×126953360² = 32234311230579200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126953360.

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, 1145 + ... + 15975.

Almost surely, 2^126953360 is an apocalyptic number.

126953360 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 126953360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148972608).

126953360 is an abundant number, since it is smaller than the sum of its proper divisors (170991856).

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

126953360 is a wasteful number, since it uses less digits than its factorization.

126953360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 126953360 is about 11267.3581641838. The cubic root of 126953360 is about 502.5910299348.

The spelling of 126953360 in words is "one hundred twenty-six million, nine hundred fifty-three thousand, three hundred sixty".