126887376 has 120 divisors (see below), whose sum is σ = 411904192. Its totient is φ = 32947200.

The previous prime is 126887323. The next prime is 126887429. The reversal of 126887376 is 673788621.

It is an interprime number because it is at equal distance from previous prime (126887323) and next prime (126887429).

It is a super-2 number, since 2×126887376² = 32200812376330752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39096 + ... + 42216.

Almost surely, 2^126887376 is an apocalyptic number.

126887376 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 126887376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205952096).

126887376 is an abundant number, since it is smaller than the sum of its proper divisors (285016816).

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

126887376 is a wasteful number, since it uses less digits than its factorization.

126887376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3144 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 126887376 is about 11264.4296793047. The cubic root of 126887376 is about 502.5039409607.

The spelling of 126887376 in words is "one hundred twenty-six million, eight hundred eighty-seven thousand, three hundred seventy-six".