126950400 has 396 divisors, whose sum is σ = 494964600. Its totient is φ = 30965760.

The previous prime is 126950389. The next prime is 126950437. The reversal of 126950400 is 4059621.

It is a super-2 number, since 2×126950400² = 32232808120320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4377586 + ... + 4377614.

Almost surely, 2^126950400 is an apocalyptic number.

126950400 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 126950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247482300).

126950400 is an abundant number, since it is smaller than the sum of its proper divisors (368014200).

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

126950400 is a wasteful number, since it uses less digits than its factorization.

126950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126950400 is about 11267.2268105333. The cubic root of 126950400 is about 502.5871238257.

The spelling of 126950400 in words is "one hundred twenty-six million, nine hundred fifty thousand, four hundred".