1074129888 has 192 divisors, whose sum is σ = 3236163840. Its totient is φ = 309215232.

The previous prime is 1074129871. The next prime is 1074129919. The reversal of 1074129888 is 8889214701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299831 + ... + 2300297.

It is an arithmetic number, because the mean of its divisors is an integer number (16855020).

Almost surely, 2^1074129888 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 1074129888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618081920).

1074129888 is an abundant number, since it is smaller than the sum of its proper divisors (2162033952).

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

1074129888 is a wasteful number, since it uses less digits than its factorization.

1074129888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 1074129888 is about 32773.9208517992. The cubic root of 1074129888 is about 1024.1233473647.

The spelling of 1074129888 in words is "one billion, seventy-four million, one hundred twenty-nine thousand, eight hundred eighty-eight".