1253664 has 48 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 417600.

The previous prime is 1253627. The next prime is 1253683. The reversal of 1253664 is 4663521.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

2^1253664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1253664 is an abundant number, since it is smaller than the sum of its proper divisors (2405376).

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

1253664 is a wasteful number, since it uses less digits than its factorization.

1253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1253664 is about 1119.6713803612. The cubic root of 1253664 is about 107.8268831472.

The spelling of 1253664 in words is "one million, two hundred fifty-three thousand, six hundred sixty-four".