126591600 has 240 divisors, whose sum is σ = 433972224. Its totient is φ = 31488000.

The previous prime is 126591551. The next prime is 126591601. The reversal of 126591600 is 6195621.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126591601) by changing a digit.

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, 1525159 + ... + 1525241.

Almost surely, 2^126591600 is an apocalyptic number.

126591600 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 126591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

126591600 is an abundant number, since it is smaller than the sum of its proper divisors (307380624).

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

126591600 is a wasteful number, since it uses less digits than its factorization.

126591600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 126591600 is about 11251.2932589992. The cubic root of 126591600 is about 502.1131896105.

The spelling of 126591600 in words is "one hundred twenty-six million, five hundred ninety-one thousand, six hundred".