1007065560 has 64 divisors (see below), whose sum is σ = 3057626880. Its totient is φ = 265312640.

The previous prime is 1007065559. The next prime is 1007065573. The reversal of 1007065560 is 655607001.

It is a super-2 number, since 2×1007065560² = 2028362084276227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40596 + ... + 60515.

It is an arithmetic number, because the mean of its divisors is an integer number (47775420).

Almost surely, 2^1007065560 is an apocalyptic number.

1007065560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007065560 is an abundant number, since it is smaller than the sum of its proper divisors (2050561320).

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

1007065560 is a wasteful number, since it uses less digits than its factorization.

1007065560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101208 (or 101204 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1007065560 is about 31734.2962739053. The cubic root of 1007065560 is about 1002.3496614337.

The spelling of 1007065560 in words is "one billion, seven million, sixty-five thousand, five hundred sixty".