1531680 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 408320.

The previous prime is 1531669. The next prime is 1531681. The reversal of 1531680 is 861351.

1531680 = T₁₈₆ + T₁₈₇ + ... + T₂₄₉.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 1531680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

2^1531680 is an apocalyptic number.

1531680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1531680 is an abundant number, since it is smaller than the sum of its proper divisors (3294624).

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

1531680 is a wasteful number, since it uses less digits than its factorization.

1531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3201 counting only the distinct ones).

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

The square root of 1531680 is about 1237.6106011181. The cubic root of 1531680 is about 115.2716953399.

It can be divided in two parts, 1531 and 680, that added together give a triangular number (2211 = T₆₆).

The spelling of 1531680 in words is "one million, five hundred thirty-one thousand, six hundred eighty".