1457664 has 80 divisors (see below), whose sum is σ = 4239312. Its totient is φ = 442368.

The previous prime is 1457663. The next prime is 1457683. The reversal of 1457664 is 4667541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19932 + ... + 20004.

2^1457664 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 1457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119656).

1457664 is an abundant number, since it is smaller than the sum of its proper divisors (2781648).

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

1457664 is an equidigital number, since it uses as much as digits as its factorization.

1457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 1457664 is about 1207.3375667145. The cubic root of 1457664 is about 113.3841832560.

The spelling of 1457664 in words is "one million, four hundred fifty-seven thousand, six hundred sixty-four".