1506626226 has 72 divisors (see below), whose sum is σ = 3919878144. Its totient is φ = 416571120.

The previous prime is 1506626203. The next prime is 1506626243. The reversal of 1506626226 is 6226266051.

1506626226 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 626 + 2 + 26 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210 + ... + 54893.

It is an arithmetic number, because the mean of its divisors is an integer number (54442752).

Almost surely, 2^1506626226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506626226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959939072).

1506626226 is an abundant number, since it is smaller than the sum of its proper divisors (2413251918).

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

1506626226 is a wasteful number, since it uses less digits than its factorization.

1506626226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55156 (or 55146 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1506626226 is about 38815.2834074415. The cubic root of 1506626226 is about 1146.3973522279.

The spelling of 1506626226 in words is "one billion, five hundred six million, six hundred twenty-six thousand, two hundred twenty-six".