126526400 has 336 divisors, whose sum is σ = 423306240. Its totient is φ = 35942400.

The previous prime is 126526399. The next prime is 126526403. The reversal of 126526400 is 4625621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 126526400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126526403) 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, 1601561 + ... + 1601639.

It is an arithmetic number, because the mean of its divisors is an integer number (1259840).

Almost surely, 2^126526400 is an apocalyptic number.

126526400 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 126526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

126526400 is an abundant number, since it is smaller than the sum of its proper divisors (296779840).

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

126526400 is a wasteful number, since it uses less digits than its factorization.

126526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 126526400 is about 11248.3954411285. The cubic root of 126526400 is about 502.0269716677.

The spelling of 126526400 in words is "one hundred twenty-six million, five hundred twenty-six thousand, four hundred".