1507665960 has 240 divisors, whose sum is σ = 5352326100. Its totient is φ = 380588544.

The previous prime is 1507665947. The next prime is 1507665967. The reversal of 1507665960 is 695667051.

1507665960 is a `hidden beast` number, since 1 + 50 + 7 + 6 + 6 + 596 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1493513316 + 14152644 = 38646^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1507665967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1168996 + ... + 1170284.

Almost surely, 2^1507665960 is an apocalyptic number.

1507665960 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 1507665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676163050).

1507665960 is an abundant number, since it is smaller than the sum of its proper divisors (3844660140).

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

1507665960 is a wasteful number, since it uses less digits than its factorization.

1507665960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1507665960 is about 38828.6744558709. The cubic root of 1507665960 is about 1146.6610040433.

The spelling of 1507665960 in words is "one billion, five hundred seven million, six hundred sixty-five thousand, nine hundred sixty".