1746328896 has 140 divisors (see below), whose sum is σ = 5575086132. Its totient is φ = 537311232.

The previous prime is 1746328861. The next prime is 1746328907. The reversal of 1746328896 is 6988236471.

1746328896 is a `hidden beast` number, since 17 + 463 + 2 + 88 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 635040000 + 1111288896 = 25200^2 + 33336^2 .

It is a super-2 number, since 2×1746328896² = 6099329226009157632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54436 + ... + 80348.

Almost surely, 2^1746328896 is an apocalyptic number.

1746328896 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 1746328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787543066).

1746328896 is an abundant number, since it is smaller than the sum of its proper divisors (3828757236).

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

1746328896 is a wasteful number, since it uses less digits than its factorization.

1746328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25931 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1746328896 is about 41789.1002056756. The cubic root of 1746328896 is about 1204.2278866515.

The spelling of 1746328896 in words is "one billion, seven hundred forty-six million, three hundred twenty-eight thousand, eight hundred ninety-six".