1011636960 has 96 divisors (see below), whose sum is σ = 3195067680. Its totient is φ = 269058048.

The previous prime is 1011636947. The next prime is 1011636973. The reversal of 1011636960 is 696361101.

It is an interprime number because it is at equal distance from previous prime (1011636947) and next prime (1011636973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193744 + ... + 198896.

It is an arithmetic number, because the mean of its divisors is an integer number (33281955).

Almost surely, 2^1011636960 is an apocalyptic number.

1011636960 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 1011636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597533840).

1011636960 is an abundant number, since it is smaller than the sum of its proper divisors (2183430720).

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

1011636960 is a wasteful number, since it uses less digits than its factorization.

1011636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1011636960 is about 31806.2408970315. The cubic root of 1011636960 is about 1003.8640366564.

The spelling of 1011636960 in words is "one billion, eleven million, six hundred thirty-six thousand, nine hundred sixty".