1653456 has 120 divisors (see below), whose sum is σ = 5371680. Its totient is φ = 435456.

The previous prime is 1653451. The next prime is 1653469. The reversal of 1653456 is 6543561.

1653456 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44670 + ... + 44706.

It is an arithmetic number, because the mean of its divisors is an integer number (44764).

2^1653456 is an apocalyptic number.

1653456 is a gapful number since it is divisible by the number (16) 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 1653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685840).

1653456 is an abundant number, since it is smaller than the sum of its proper divisors (3718224).

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

1653456 is a wasteful number, since it uses less digits than its factorization.

1653456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 1653456 is about 1285.8678003590. The cubic root of 1653456 is about 118.2490192667.

The spelling of 1653456 in words is "one million, six hundred fifty-three thousand, four hundred fifty-six".