1073627136 has 150 divisors (see below), whose sum is σ = 3211493670. Its totient is φ = 357433344.

The previous prime is 1073627119. The next prime is 1073627141. The reversal of 1073627136 is 6317263701.

1073627136 is a `hidden beast` number, since 10 + 7 + 3 + 627 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1040449536 + 33177600 = 32256^2 + 5760^2 .

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

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1073627136.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326700 + ... + 1327508.

Almost surely, 2^1073627136 is an apocalyptic number.

1073627136 is a gapful number since it is divisible by the number (16) 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 1073627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605746835).

1073627136 is an abundant number, since it is smaller than the sum of its proper divisors (2137866534).

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

1073627136 is an frugal number, since it uses more digits than its factorization.

1073627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1073627136 is about 32766.2499532675. The cubic root of 1073627136 is about 1023.9635403685.

The spelling of 1073627136 in words is "one billion, seventy-three million, six hundred twenty-seven thousand, one hundred thirty-six".