1516064 has 48 divisors (see below), whose sum is σ = 3356640. Its totient is φ = 668160.

The previous prime is 1516061. The next prime is 1516087. The reversal of 1516064 is 4606151.

1516064 = T₃₂ + T₃₃ + ... + T₂₀₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20732 + ... + 20804.

It is an arithmetic number, because the mean of its divisors is an integer number (69930).

2^1516064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678320).

1516064 is an abundant number, since it is smaller than the sum of its proper divisors (1840576).

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

1516064 is a wasteful number, since it uses less digits than its factorization.

1516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1516064 is about 1231.2855071022. The cubic root of 1516064 is about 114.8786116741.

The spelling of 1516064 in words is "one million, five hundred sixteen thousand, sixty-four".