1262558628 has 72 divisors (see below), whose sum is σ = 3238817400. Its totient is φ = 414644736.

The previous prime is 1262558623. The next prime is 1262558629. The reversal of 1262558628 is 8268552621.

It is a happy number.

1262558628 is a `hidden beast` number, since 1 + 2 + 62 + 5 + 586 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 1164310884 = 9912^2 + 34122^2 .

It is not an unprimeable number, because it can be changed into a prime (1262558623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1245850 + ... + 1246862.

It is an arithmetic number, because the mean of its divisors is an integer number (44983575).

Almost surely, 2^1262558628 is an apocalyptic number.

1262558628 is a gapful number since it is divisible by the number (18) 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 1262558628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619408700).

1262558628 is an abundant number, since it is smaller than the sum of its proper divisors (1976258772).

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

1262558628 is a wasteful number, since it uses less digits than its factorization.

1262558628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1496 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1262558628 is about 35532.5010096390. The cubic root of 1262558628 is about 1080.8128962248.

It can be divided in two parts, 12625 and 58628, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 1262558628 in words is "one billion, two hundred sixty-two million, five hundred fifty-eight thousand, six hundred twenty-eight".