1505568960 has 672 divisors, whose sum is σ = 6573146112. Its totient is φ = 308183040.

The previous prime is 1505568941. The next prime is 1505568979. The reversal of 1505568960 is 698655051.

It is a happy number.

1505568960 is a `hidden beast` number, since 1 + 5 + 0 + 556 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1505568941) and next prime (1505568979).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7882465 + ... + 7882655.

Almost surely, 2^1505568960 is an apocalyptic number.

1505568960 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 1505568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286573056).

1505568960 is an abundant number, since it is smaller than the sum of its proper divisors (5067577152).

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

1505568960 is a wasteful number, since it uses less digits than its factorization.

1505568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 1505568960 is about 38801.6618200819. The cubic root of 1505568960 is about 1146.1291303008.

The spelling of 1505568960 in words is "one billion, five hundred five million, five hundred sixty-eight thousand, nine hundred sixty".