2117664 has 120 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 653184.

The previous prime is 2117663. The next prime is 2117671. The reversal of 2117664 is 4667112.

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

Its product of digits (2016) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (2117663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49227 + ... + 49269.

It is an arithmetic number, because the mean of its divisors is an integer number (55902).

2^2117664 is an apocalyptic number.

2117664 is a gapful number since it is divisible by the number (24) 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 2117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354120).

2117664 is an abundant number, since it is smaller than the sum of its proper divisors (4590576).

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

2117664 is a wasteful number, since it uses less digits than its factorization.

2117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2117664 is about 1455.2195710614. The cubic root of 2117664 is about 128.4159644749.

It can be divided in two parts, 211 and 7664, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 2117664 in words is "two million, one hundred seventeen thousand, six hundred sixty-four".