1872640 has 144 divisors (see below), whose sum is σ = 5886720. Its totient is φ = 552960.

The previous prime is 1872631. The next prime is 1872667. The reversal of 1872640 is 462781.

1872640 = T₁₅ + T₁₆ + ... + T₂₂₃.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 8³ + 7⁷ + 2 + 6 + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 1872599 and 1872608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98551 + ... + 98569.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2^1872640 is an apocalyptic number.

1872640 is a gapful number since it is divisible by the number (10) 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 1872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360).

1872640 is an abundant number, since it is smaller than the sum of its proper divisors (4014080).

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

1872640 is a wasteful number, since it uses less digits than its factorization.

1872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1872640 is about 1368.4443722709. Note that the first 3 decimals coincide. The cubic root of 1872640 is about 123.2588463465.

Multiplying 1872640 by its sum of digits (28), we get a triangular number (52433920 = T₁₀₂₄₀).

The spelling of 1872640 in words is "one million, eight hundred seventy-two thousand, six hundred forty".