126631872 has 42 divisors (see below), whose sum is σ = 362969048. Its totient is φ = 42210432.

The previous prime is 126631853. The next prime is 126631873. The reversal of 126631872 is 278136621.

126631872 is a `hidden beast` number, since 12 + 6 + 631 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126631873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109348 + ... + 110499.

Almost surely, 2^126631872 is an apocalyptic number.

126631872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126631872 is an abundant number, since it is smaller than the sum of its proper divisors (236337176).

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

126631872 is a wasteful number, since it uses less digits than its factorization.

126631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219865 (or 219852 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 126631872 is about 11253.0827776214. The cubic root of 126631872 is about 502.1664289473.

It can be divided in two parts, 12663 and 1872, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 126631872 in words is "one hundred twenty-six million, six hundred thirty-one thousand, eight hundred seventy-two".