126726600 has 384 divisors, whose sum is σ = 529966080. Its totient is φ = 24192000.

The previous prime is 126726581. The next prime is 126726623. The reversal of 126726600 is 6627621.

It is a super-2 number, since 2×126726600² = 32119262295120000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 600495 + ... + 600705.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 2^126726600 is an apocalyptic number.

126726600 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 126726600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264983040).

126726600 is an abundant number, since it is smaller than the sum of its proper divisors (403239480).

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

126726600 is a wasteful number, since it uses less digits than its factorization.

126726600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 126726600 is about 11257.2909707442. The cubic root of 126726600 is about 502.2916142953.

The spelling of 126726600 in words is "one hundred twenty-six million, seven hundred twenty-six thousand, six hundred".