126988400 has 360 divisors, whose sum is σ = 420687360. Its totient is φ = 36288000.

The previous prime is 126988373. The next prime is 126988409. The reversal of 126988400 is 4889621.

It is a super-2 number, since 2×126988400² = 32252107469120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126988409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4096385 + ... + 4096415.

It is an arithmetic number, because the mean of its divisors is an integer number (1168576).

Almost surely, 2^126988400 is an apocalyptic number.

126988400 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 126988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

126988400 is an abundant number, since it is smaller than the sum of its proper divisors (293698960).

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

126988400 is a wasteful number, since it uses less digits than its factorization.

126988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 126988400 is about 11268.9129910564. The cubic root of 126988400 is about 502.6372652076.

The spelling of 126988400 in words is "one hundred twenty-six million, nine hundred eighty-eight thousand, four hundred".