126629376 has 80 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 39979008.

The previous prime is 126629359. The next prime is 126629383. The reversal of 126629376 is 673926621.

It is a super-2 number, since 2×126629376² = 32069997732298752, 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 7 ways as a sum of consecutive naturals, for example, 27015 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 2^126629376 is an apocalyptic number.

126629376 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 126629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

126629376 is an abundant number, since it is smaller than the sum of its proper divisors (228556224).

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

126629376 is an equidigital number, since it uses as much as digits as its factorization.

126629376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4363 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 126629376 is about 11252.9718741317. The cubic root of 126629376 is about 502.1631295788.

The spelling of 126629376 in words is "one hundred twenty-six million, six hundred twenty-nine thousand, three hundred seventy-six".