126033600 has 504 divisors, whose sum is σ = 536187904. Its totient is φ = 25344000.

The previous prime is 126033599. The next prime is 126033613. The reversal of 126033600 is 6330621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4065585 + ... + 4065615.

Almost surely, 2^126033600 is an apocalyptic number.

126033600 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 126033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268093952).

126033600 is an abundant number, since it is smaller than the sum of its proper divisors (410154304).

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

126033600 is a wasteful number, since it uses less digits than its factorization.

126033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 126033600 is about 11226.4687235123. The cubic root of 126033600 is about 501.3743521842.

The spelling of 126033600 in words is "one hundred twenty-six million, thirty-three thousand, six hundred".