11620640 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4565760.

The previous prime is 11620633. The next prime is 11620643. The reversal of 11620640 is 4602611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11620643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8825 + ... + 10055.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^11620640 is an apocalyptic number.

11620640 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 11620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11620640 is an abundant number, since it is smaller than the sum of its proper divisors (16321120).

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

11620640 is a wasteful number, since it uses less digits than its factorization.

11620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11620640 is about 3408.9059828631. The cubic root of 11620640 is about 226.5044206100.

The spelling of 11620640 in words is "eleven million, six hundred twenty thousand, six hundred forty".