126462688 has 48 divisors (see below), whose sum is σ = 272798064. Its totient is φ = 57231360.

The previous prime is 126462673. The next prime is 126462697. The reversal of 126462688 is 886264621.

It is a super-2 number, since 2×126462688² = 31985622912370688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96856 + ... + 98152.

It is an arithmetic number, because the mean of its divisors is an integer number (5683293).

Almost surely, 2^126462688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126462688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136399032).

126462688 is an abundant number, since it is smaller than the sum of its proper divisors (146335376).

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

126462688 is a wasteful number, since it uses less digits than its factorization.

126462688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 126462688 is about 11245.5630361490. The cubic root of 126462688 is about 501.9426927804.

The spelling of 126462688 in words is "one hundred twenty-six million, four hundred sixty-two thousand, six hundred eighty-eight".