1506864160 has 48 divisors (see below), whose sum is σ = 3747340800. Its totient is φ = 571021056.

The previous prime is 1506864143. The next prime is 1506864187. The reversal of 1506864160 is 614686051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244800 + ... + 250879.

It is an arithmetic number, because the mean of its divisors is an integer number (78069600).

Almost surely, 2^1506864160 is an apocalyptic number.

1506864160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506864160 is an abundant number, since it is smaller than the sum of its proper divisors (2240476640).

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

1506864160 is a wasteful number, since it uses less digits than its factorization.

1506864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495713 (or 495705 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1506864160 is about 38818.3482389449. The cubic root of 1506864160 is about 1146.4576973321.

It can be divided in two parts, 150686 and 4160, that added together give a triangular number (154846 = T₅₅₆).

The spelling of 1506864160 in words is "one billion, five hundred six million, eight hundred sixty-four thousand, one hundred sixty".