1948815 has 48 divisors (see below), whose sum is σ = 3833856. Its totient is φ = 907200.

The previous prime is 1948801. The next prime is 1948847. The reversal of 1948815 is 5188491.

It is a Cunningham number, because it is equal to 1396²-1.

It is not a de Polignac number, because 1948815 - 2⁴ = 1948799 is a prime.

Its product of digits (11520) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 1948815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15282 + ... + 15408.

It is an arithmetic number, because the mean of its divisors is an integer number (79872).

2^1948815 is an apocalyptic number.

1948815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1948815 is a deficient number, since it is larger than the sum of its proper divisors (1885041).

1948815 is a wasteful number, since it uses less digits than its factorization.

1948815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1948815 is about 1395.9996418338. Note that the first 3 decimals coincide. The cubic root of 1948815 is about 124.9079856168.

It can be divided in two parts, 19488 and 15, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 1948815 in words is "one million, nine hundred forty-eight thousand, eight hundred fifteen".