1483680 has 96 divisors (see below), whose sum is σ = 5116608. Its totient is φ = 358400.

The previous prime is 1483637. The next prime is 1483681. The reversal of 1483680 is 863841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1483681) 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, 5140 + ... + 5420.

It is an arithmetic number, because the mean of its divisors is an integer number (53298).

2^1483680 is an apocalyptic number.

1483680 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 1483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558304).

1483680 is an abundant number, since it is smaller than the sum of its proper divisors (3632928).

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

1483680 is a wasteful number, since it uses less digits than its factorization.

1483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1483680 is about 1218.0640377254. The cubic root of 1483680 is about 114.0547597800.

It can be divided in two parts, 148 and 3680, that added together give a triangular number (3828 = T₈₇).

The spelling of 1483680 in words is "one million, four hundred eighty-three thousand, six hundred eighty".