1513680 has 160 divisors (see below), whose sum is σ = 5785344. Its totient is φ = 319488.

The previous prime is 1513669. The next prime is 1513693. The reversal of 1513680 is 863151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1513680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28534 + ... + 28586.

2^1513680 is an apocalyptic number.

1513680 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 1513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672).

1513680 is an abundant number, since it is smaller than the sum of its proper divisors (4271664).

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

1513680 is a wasteful number, since it uses less digits than its factorization.

1513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1513680 is about 1230.3170323132. The cubic root of 1513680 is about 114.8183648136.

It can be divided in two parts, 15 and 13680, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 1513680 in words is "one million, five hundred thirteen thousand, six hundred eighty".