1611456 has 112 divisors (see below), whose sum is σ = 5364480. Its totient is φ = 414720.

The previous prime is 1611451. The next prime is 1611469. The reversal of 1611456 is 6541161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1611451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14730 + ... + 14838.

2^1611456 is an apocalyptic number.

1611456 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 1611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682240).

1611456 is an abundant number, since it is smaller than the sum of its proper divisors (3753024).

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

1611456 is a wasteful number, since it uses less digits than its factorization.

1611456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1611456 is about 1269.4313687632. The cubic root of 1611456 is about 117.2391921638.

The spelling of 1611456 in words is "one million, six hundred eleven thousand, four hundred fifty-six".