11642620 has 72 divisors (see below), whose sum is σ = 28555632. Its totient is φ = 3970560.

The previous prime is 11642599. The next prime is 11642621. The reversal of 11642620 is 2624611.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11642591 and 11642600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40999 + ... + 41281.

It is an arithmetic number, because the mean of its divisors is an integer number (396606).

Almost surely, 2^11642620 is an apocalyptic number.

11642620 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 11642620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277816).

11642620 is an abundant number, since it is smaller than the sum of its proper divisors (16913012).

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

11642620 is a wasteful number, since it uses less digits than its factorization.

11642620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 11642620 is about 3412.1283680424. The cubic root of 11642620 is about 226.6471388406.

Subtracting from 11642620 its reverse (2624611), we obtain a square (9018009 = 3003²).

The spelling of 11642620 in words is "eleven million, six hundred forty-two thousand, six hundred twenty".