1507240560 has 160 divisors (see below), whose sum is σ = 5353943040. Its totient is φ = 343609344.

The previous prime is 1507240549. The next prime is 1507240561. The reversal of 1507240560 is 650427051.

It is a super-2 number, since 2×1507240560² = 4543548211418227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1507240561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803784 + ... + 805656.

It is an arithmetic number, because the mean of its divisors is an integer number (33462144).

Almost surely, 2^1507240560 is an apocalyptic number.

1507240560 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 1507240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676971520).

1507240560 is an abundant number, since it is smaller than the sum of its proper divisors (3846702480).

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

1507240560 is a wasteful number, since it uses less digits than its factorization.

1507240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1507240560 is about 38823.1961589975. The cubic root of 1507240560 is about 1146.5531473763.

The spelling of 1507240560 in words is "one billion, five hundred seven million, two hundred forty thousand, five hundred sixty".