126993060 has 144 divisors (see below), whose sum is σ = 417021696. Its totient is φ = 31159296.

The previous prime is 126993049. The next prime is 126993067. The reversal of 126993060 is 60399621.

It is a super-2 number, since 2×126993060² = 32254474576327200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126993067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143379 + ... + 144261.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2^126993060 is an apocalyptic number.

126993060 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 126993060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848).

126993060 is an abundant number, since it is smaller than the sum of its proper divisors (290028636).

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

126993060 is a wasteful number, since it uses less digits than its factorization.

126993060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 126993060 is about 11269.1197526692. The cubic root of 126993060 is about 502.6434134359.

The spelling of 126993060 in words is "one hundred twenty-six million, nine hundred ninety-three thousand, sixty".