1026419625 has 288 divisors, whose sum is σ = 2510307072. Its totient is φ = 391680000.

The previous prime is 1026419623. The next prime is 1026419629. The reversal of 1026419625 is 5269146201.

1026419625 is a `hidden beast` number, since 1 + 0 + 2 + 641 + 9 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 1026419625 - 2¹ = 1026419623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1026419625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026419621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25034605 + ... + 25034645.

It is an arithmetic number, because the mean of its divisors is an integer number (8716344).

Almost surely, 2^1026419625 is an apocalyptic number.

1026419625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1026419625 is an abundant number, since it is smaller than the sum of its proper divisors (1483887447).

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

1026419625 is a wasteful number, since it uses less digits than its factorization.

1026419625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1026419625 is about 32037.7843335022. The cubic root of 1026419625 is about 1008.7301051433.

The spelling of 1026419625 in words is "one billion, twenty-six million, four hundred nineteen thousand, six hundred twenty-five".