1027408536 has 320 divisors, whose sum is σ = 3659040000. Its totient is φ = 261584640.

The previous prime is 1027408519. The next prime is 1027408559. The reversal of 1027408536 is 6358047201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1027408536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2943690 + ... + 2944038.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 2^1027408536 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 1027408536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520000).

1027408536 is an abundant number, since it is smaller than the sum of its proper divisors (2631631464).

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

1027408536 is a wasteful number, since it uses less digits than its factorization.

1027408536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1027408536 is about 32053.2141290074. The cubic root of 1027408536 is about 1009.0539571302.

The spelling of 1027408536 in words is "one billion, twenty-seven million, four hundred eight thousand, five hundred thirty-six".