1074724128 has 144 divisors (see below), whose sum is σ = 3226728960. Its totient is φ = 338629632.

The previous prime is 1074724127. The next prime is 1074724141. The reversal of 1074724128 is 8214274701.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1074724092 and 1074724101.

It is not an unprimeable number, because it can be changed into a prime (1074724127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588625 + ... + 590447.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^1074724128 is an apocalyptic number.

1074724128 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 1074724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1074724128 is an abundant number, since it is smaller than the sum of its proper divisors (2152004832).

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

1074724128 is a wasteful number, since it uses less digits than its factorization.

1074724128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1074724128 is about 32782.9853430099. The cubic root of 1074724128 is about 1024.3121708556.

Adding to 1074724128 its reverse (8214274701), we get a palindrome (9288998829).

The spelling of 1074724128 in words is "one billion, seventy-four million, seven hundred twenty-four thousand, one hundred twenty-eight".