126526624 has 144 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 49351680.

The previous prime is 126526601. The next prime is 126526633. The reversal of 126526624 is 426625621.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126526624.

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, 923484 + ... + 923620.

It is an arithmetic number, because the mean of its divisors is an integer number (2202480).

Almost surely, 2^126526624 is an apocalyptic number.

126526624 is a gapful number since it is divisible by the number (14) 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 126526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

126526624 is an abundant number, since it is smaller than the sum of its proper divisors (190630496).

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

126526624 is a wasteful number, since it uses less digits than its factorization.

126526624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 126526624 is about 11248.4053980998. The cubic root of 126526624 is about 502.0272679272.

It can be divided in two parts, 1265 and 26624, that added together give a square (27889 = 167²).

The spelling of 126526624 in words is "one hundred twenty-six million, five hundred twenty-six thousand, six hundred twenty-four".