9007661560 has 32 divisors (see below), whose sum is σ = 20270435040. Its totient is φ = 3602496384.

The previous prime is 9007661539. The next prime is 9007661561. The reversal of 9007661560 is 651667009.

It is a super-2 number, since 2×9007661560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007661561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316894 + ... + 344146.

It is an arithmetic number, because the mean of its divisors is an integer number (633451095).

Almost surely, 2^9007661560 is an apocalyptic number.

It is an amenable number.

9007661560 is an abundant number, since it is smaller than the sum of its proper divisors (11262773480).

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

9007661560 is a wasteful number, since it uses less digits than its factorization.

9007661560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35527 (or 35523 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 9007661560 is about 94908.7011817146. The cubic root of 9007661560 is about 2080.6739033088.

The spelling of 9007661560 in words is "nine billion, seven million, six hundred sixty-one thousand, five hundred sixty".