126756496 has 80 divisors (see below), whose sum is σ = 267732864. Its totient is φ = 57987072.

The previous prime is 126756493. The next prime is 126756499. The reversal of 126756496 is 694657621.

It is an interprime number because it is at equal distance from previous prime (126756493) and next prime (126756499).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (126756491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306720 + ... + 1306816.

Almost surely, 2^126756496 is an apocalyptic number.

126756496 is a gapful number since it is divisible by the number (16) 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 126756496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133866432).

126756496 is an abundant number, since it is smaller than the sum of its proper divisors (140976368).

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

126756496 is a wasteful number, since it uses less digits than its factorization.

126756496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 126756496 is about 11258.6187429897. The cubic root of 126756496 is about 502.3311096325.

The spelling of 126756496 in words is "one hundred twenty-six million, seven hundred fifty-six thousand, four hundred ninety-six".