1653664 has 24 divisors (see below), whose sum is σ = 3362688. Its totient is φ = 799680.

The previous prime is 1653643. The next prime is 1653671. The reversal of 1653664 is 4663561.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (140112).

2^1653664 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 1653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681344).

1653664 is an abundant number, since it is smaller than the sum of its proper divisors (1709024).

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

1653664 is a wasteful number, since it uses less digits than its factorization.

1653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 1653664 is about 1285.9486770474. The cubic root of 1653664 is about 118.2539775207.

The spelling of 1653664 in words is "one million, six hundred fifty-three thousand, six hundred sixty-four".