1515201660 has 192 divisors, whose sum is σ = 5412234240. Its totient is φ = 344736000.

The previous prime is 1515201587. The next prime is 1515201661. The reversal of 1515201660 is 661025151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1515201661) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 947982 + ... + 949578.

It is an arithmetic number, because the mean of its divisors is an integer number (28188720).

Almost surely, 2^1515201660 is an apocalyptic number.

1515201660 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 1515201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706117120).

1515201660 is an abundant number, since it is smaller than the sum of its proper divisors (3897032580).

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

1515201660 is a wasteful number, since it uses less digits than its factorization.

1515201660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1515201660 is about 38925.5913249882. The cubic root of 1515201660 is about 1148.5682648769.

The spelling of 1515201660 in words is "one billion, five hundred fifteen million, two hundred one thousand, six hundred sixty".