1506838560 has 192 divisors, whose sum is σ = 5075239680. Its totient is φ = 374865920.

The previous prime is 1506838559. The next prime is 1506838573. The reversal of 1506838560 is 658386051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450976 + ... + 454304.

It is an arithmetic number, because the mean of its divisors is an integer number (26433540).

Almost surely, 2^1506838560 is an apocalyptic number.

1506838560 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 1506838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537619840).

1506838560 is an abundant number, since it is smaller than the sum of its proper divisors (3568401120).

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

1506838560 is a wasteful number, since it uses less digits than its factorization.

1506838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1506838560 is about 38818.0184965693. The cubic root of 1506838560 is about 1146.4512049346.

It can be divided in two parts, 15068 and 38560, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 1506838560 in words is "one billion, five hundred six million, eight hundred thirty-eight thousand, five hundred sixty".