126847440 has 120 divisors (see below), whose sum is σ = 436487688. Its totient is φ = 32993280.

The previous prime is 126847423. The next prime is 126847447. The reversal of 126847440 is 44748621.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 126427536 = 648^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126847395 and 126847404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126847447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27372 + ... + 31668.

Almost surely, 2^126847440 is an apocalyptic number.

126847440 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 126847440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218243844).

126847440 is an abundant number, since it is smaller than the sum of its proper divisors (309640248).

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

126847440 is a wasteful number, since it uses less digits than its factorization.

126847440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 126847440 is about 11262.6568801504. The cubic root of 126847440 is about 502.4512167686.

The spelling of 126847440 in words is "one hundred twenty-six million, eight hundred forty-seven thousand, four hundred forty".