1948680 has 48 divisors (see below), whose sum is σ = 6334380. Its totient is φ = 519552.

The previous prime is 1948669. The next prime is 1948699. The reversal of 1948680 is 868491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1855044 + 93636 = 1362^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2347 + ... + 3066.

2^1948680 is an apocalyptic number.

1948680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948680 is an abundant number, since it is smaller than the sum of its proper divisors (4385700).

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

1948680 is a wasteful number, since it uses less digits than its factorization.

1948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1948680 is about 1395.9512885484. The cubic root of 1948680 is about 124.9051013055.

It can be divided in two parts, 1948 and 680, that added together give a triangular number (2628 = T₇₂).

The spelling of 1948680 in words is "one million, nine hundred forty-eight thousand, six hundred eighty".