1002652560 has 320 divisors, whose sum is σ = 4251394560. Its totient is φ = 211507200.

The previous prime is 1002652559. The next prime is 1002652621. The reversal of 1002652560 is 652562001.

1002652560 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 652 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194010 + ... + 199110.

It is an arithmetic number, because the mean of its divisors is an integer number (13285608).

Almost surely, 2^1002652560 is an apocalyptic number.

1002652560 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 1002652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125697280).

1002652560 is an abundant number, since it is smaller than the sum of its proper divisors (3248742000).

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

1002652560 is a wasteful number, since it uses less digits than its factorization.

1002652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1002652560 is about 31664.6894821345. The cubic root of 1002652560 is about 1000.8834060306.

The spelling of 1002652560 in words is "one billion, two million, six hundred fifty-two thousand, five hundred sixty".