1638252 has 96 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 423360.

The previous prime is 1638251. The next prime is 1638269. The reversal of 1638252 is 2528361.

1638252 is a `hidden beast` number, since 1 + 638 + 25 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1638251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8218 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2^1638252 is an apocalyptic number.

1638252 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 1638252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

1638252 is an abundant number, since it is smaller than the sum of its proper divisors (3683988).

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

1638252 is a wasteful number, since it uses less digits than its factorization.

1638252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1638252 is about 1279.9421861944. The cubic root of 1638252 is about 117.8854581318.

The spelling of 1638252 in words is "one million, six hundred thirty-eight thousand, two hundred fifty-two".