11620512 has 72 divisors (see below), whose sum is σ = 33385716. Its totient is φ = 3833856.

The previous prime is 11620493. The next prime is 11620513. The reversal of 11620512 is 21502611.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 571536 = 3324^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11620513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45088 + ... + 45344.

Almost surely, 2^11620512 is an apocalyptic number.

11620512 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 11620512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692858).

11620512 is an abundant number, since it is smaller than the sum of its proper divisors (21765204).

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

11620512 is a wasteful number, since it uses less digits than its factorization.

11620512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11620512 is about 3408.8872084597. The cubic root of 11620512 is about 226.5035889670.

The spelling of 11620512 in words is "eleven million, six hundred twenty thousand, five hundred twelve".