1964052 has 36 divisors (see below), whose sum is σ = 5028660. Its totient is φ = 646272.

The previous prime is 1964047. The next prime is 1964059. The reversal of 1964052 is 2504691.

1964052 is a `hidden beast` number, since 19 + 640 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 1838736 = 354^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (139685).

2^1964052 is an apocalyptic number.

1964052 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 1964052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514330).

1964052 is an abundant number, since it is smaller than the sum of its proper divisors (3064608).

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

1964052 is a wasteful number, since it uses less digits than its factorization.

1964052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1964052 is about 1401.4463956927. The cubic root of 1964052 is about 125.2326759598.

The spelling of 1964052 in words is "one million, nine hundred sixty-four thousand, fifty-two".