1516560 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 394240.

The previous prime is 1516547. The next prime is 1516583. The reversal of 1516560 is 656151.

1516560 = T₃₁ + T₃₂ + ... + T₂₀₈.

It is a tau number, because it is divible by the number of its divisors (80).

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 1516560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16996 + ... + 17084.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1516560 is an apocalyptic number.

1516560 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 1516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1516560 is an abundant number, since it is smaller than the sum of its proper divisors (3304560).

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

1516560 is a wasteful number, since it uses less digits than its factorization.

1516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1516560 is about 1231.4869061423. The cubic root of 1516560 is about 114.8911383174.

1516560 divided by its sum of digits (24) gives a triangular number (63190 = T₃₅₅).

It can be divided in two parts, 15165 and 60, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 1516560 in words is "one million, five hundred sixteen thousand, five hundred sixty".