1074142368 has 216 divisors, whose sum is σ = 3426188220. Its totient is φ = 318689280.

The previous prime is 1074142337. The next prime is 1074142369. The reversal of 1074142368 is 8632414701.

1074142368 is a `hidden beast` number, since 1 + 0 + 7 + 414 + 236 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 1072431504 = 1308^2 + 32748^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1074142369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1411108 + ... + 1411868.

Almost surely, 2^1074142368 is an apocalyptic number.

1074142368 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 1074142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713094110).

1074142368 is an abundant number, since it is smaller than the sum of its proper divisors (2352045852).

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

1074142368 is a wasteful number, since it uses less digits than its factorization.

1074142368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1074142368 is about 32774.1112465312. Note that the first 3 decimals coincide. The cubic root of 1074142368 is about 1024.1273136789.

The spelling of 1074142368 in words is "one billion, seventy-four million, one hundred forty-two thousand, three hundred sixty-eight".