126787600 has 45 divisors (see below), whose sum is σ = 305149213. Its totient is φ = 50624960.

The previous prime is 126787597. The next prime is 126787631. The reversal of 126787600 is 6787621.

It is a happy number.

The square root of 126787600 is 11260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45643536 + 81144064 = 6756^2 + 9008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126787600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 224919 + ... + 225481.

Almost surely, 2^126787600 is an apocalyptic number.

126787600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126787600 is the 11260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126787600

126787600 is an abundant number, since it is smaller than the sum of its proper divisors (178361613).

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

126787600 is an frugal number, since it uses more digits than its factorization.

126787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The cubic root of 126787600 is about 502.3721942567.

Multiplying 126787600 by its product of nonzero digits (28224), we get a square (3578453222400 = 1891680²).

The spelling of 126787600 in words is "one hundred twenty-six million, seven hundred eighty-seven thousand, six hundred".