1506016064 has 112 divisors (see below), whose sum is σ = 3502517760. Its totient is φ = 629184000.

The previous prime is 1506016033. The next prime is 1506016073. The reversal of 1506016064 is 4606106051.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5999939 + ... + 6000189.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 2^1506016064 is an apocalyptic number.

1506016064 is a gapful number since it is divisible by the number (14) 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 1506016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751258880).

1506016064 is an abundant number, since it is smaller than the sum of its proper divisors (1996501696).

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

1506016064 is a wasteful number, since it uses less digits than its factorization.

1506016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1506016064 is about 38807.4227951303. The cubic root of 1506016064 is about 1146.2425731730.

The spelling of 1506016064 in words is "one billion, five hundred six million, sixteen thousand, sixty-four".