1986480 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 506880.

The previous prime is 1986461. The next prime is 1986497. The reversal of 1986480 is 846891.

It is a happy number.

1986480 is a `hidden beast` number, since 1 + 9 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1986480² = 7892205580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22276 + ... + 22364.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^1986480 is an apocalyptic number.

1986480 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 1986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

1986480 is an abundant number, since it is smaller than the sum of its proper divisors (4977360).

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

1986480 is a wasteful number, since it uses less digits than its factorization.

1986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

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

The square root of 1986480 is about 1409.4254148411. The cubic root of 1986480 is about 125.7075606399.

The spelling of 1986480 in words is "one million, nine hundred eighty-six thousand, four hundred eighty".