1985580 has 48 divisors (see below), whose sum is σ = 6179040. Its totient is φ = 529344.

The previous prime is 1985573. The next prime is 1985587. The reversal of 1985580 is 855891.

1985580 = 203² + 204² + ... + 242².

It is an interprime number because it is at equal distance from previous prime (1985573) and next prime (1985587).

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

It is not an unprimeable number, because it can be changed into a prime (1985587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (128730).

2^1985580 is an apocalyptic number.

1985580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1985580 is an abundant number, since it is smaller than the sum of its proper divisors (4193460).

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

1985580 is a wasteful number, since it uses less digits than its factorization.

1985580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1985580 is about 1409.1060996249. The cubic root of 1985580 is about 125.6885733030.

1985580 divided by its sum of digits (36) gives a palindrome (55155).

It can be divided in two parts, 198 and 5580, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 1985580 in words is "one million, nine hundred eighty-five thousand, five hundred eighty".