1074828672 has 192 divisors, whose sum is σ = 3325289760. Its totient is φ = 332021760.

The previous prime is 1074828659. The next prime is 1074828679. The reversal of 1074828672 is 2768284701.

1074828672 is a `hidden beast` number, since 107 + 482 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074828679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390078 + ... + 1390850.

Almost surely, 2^1074828672 is an apocalyptic number.

1074828672 is a gapful number since it is divisible by the number (12) 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 1074828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662644880).

1074828672 is an abundant number, since it is smaller than the sum of its proper divisors (2250461088).

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

1074828672 is a wasteful number, since it uses less digits than its factorization.

1074828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1074828672 is about 32784.5797898951. The cubic root of 1074828672 is about 1024.3453831677.

The spelling of 1074828672 in words is "one billion, seventy-four million, eight hundred twenty-eight thousand, six hundred seventy-two".