1018089072 has 360 divisors, whose sum is σ = 3897719280. Its totient is φ = 243855360.

The previous prime is 1018089071. The next prime is 1018089119. The reversal of 1018089072 is 2709808101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018089071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008504 + ... + 1009512.

It is an arithmetic number, because the mean of its divisors is an integer number (10826998).

Almost surely, 2^1018089072 is an apocalyptic number.

1018089072 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 1018089072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948859640).

1018089072 is an abundant number, since it is smaller than the sum of its proper divisors (2879630208).

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

1018089072 is a wasteful number, since it uses less digits than its factorization.

1018089072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1018089072 is about 31907.5080819546. The cubic root of 1018089072 is about 1005.9936945194.

The spelling of 1018089072 in words is "one billion, eighteen million, eighty-nine thousand, seventy-two".