2114064 has 60 divisors (see below), whose sum is σ = 6049836. Its totient is φ = 688896.

The previous prime is 2114059. The next prime is 2114081. The reversal of 2114064 is 4604112.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 1192464 = 960^2 + 1092^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7494 + ... + 7770.

2^2114064 is an apocalyptic number.

2114064 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 2114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024918).

2114064 is an abundant number, since it is smaller than the sum of its proper divisors (3935772).

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

2114064 is a wasteful number, since it uses less digits than its factorization.

2114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114064 is about 1453.9821181844. The cubic root of 2114064 is about 128.3431547364.

Adding to 2114064 its reverse (4604112), we get a palindrome (6718176).

The spelling of 2114064 in words is "two million, one hundred fourteen thousand, sixty-four".