1011618720 has 576 divisors, whose sum is σ = 4240252800. Its totient is φ = 227308032.

The previous prime is 1011618719. The next prime is 1011618733. The reversal of 1011618720 is 278161101.

1011618720 is a `hidden beast` number, since 10 + 11 + 618 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17146051 + ... + 17146109.

It is an arithmetic number, because the mean of its divisors is an integer number (7361550).

Almost surely, 2^1011618720 is an apocalyptic number.

1011618720 is a gapful number since it is divisible by the number (10) 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 1011618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120126400).

1011618720 is an abundant number, since it is smaller than the sum of its proper divisors (3228634080).

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

1011618720 is an frugal number, since it uses more digits than its factorization.

1011618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1011618720 is about 31805.9541595595. The cubic root of 1011618720 is about 1003.8580033358.

Adding to 1011618720 its reverse (278161101), we get a palindrome (1289779821).

The spelling of 1011618720 in words is "one billion, eleven million, six hundred eighteen thousand, seven hundred twenty".