1741264 has 30 divisors (see below), whose sum is σ = 3926274. Its totient is φ = 745920.

The previous prime is 1741249. The next prime is 1741273. The reversal of 1741264 is 4621471.

1741264 = T₂₄₅ + T₂₄₆ + ... + T₂₉₂.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 153664 = 1260^2 + 392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 327 + ... + 1894.

2^1741264 is an apocalyptic number.

1741264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1741264 is an abundant number, since it is smaller than the sum of its proper divisors (2185010).

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

1741264 is a wasteful number, since it uses less digits than its factorization.

1741264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2230 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 1741264 is about 1319.5696268102. The cubic root of 1741264 is about 120.3062547722.

The spelling of 1741264 in words is "one million, seven hundred forty-one thousand, two hundred sixty-four".