9061029120 has 576 divisors, whose sum is σ = 35232019200. Its totient is φ = 1954283520.

The previous prime is 9061029083. The next prime is 9061029127. The reversal of 9061029120 is 219201609.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9061029127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15924196 + ... + 15924764.

It is an arithmetic number, because the mean of its divisors is an integer number (61166700).

Almost surely, 2^9061029120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9061029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616009600).

9061029120 is an abundant number, since it is smaller than the sum of its proper divisors (26170990080).

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

9061029120 is a wasteful number, since it uses less digits than its factorization.

9061029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9061029120 is about 95189.4380695674. The cubic root of 9061029120 is about 2084.7749275417.

The spelling of 9061029120 in words is "nine billion, sixty-one million, twenty-nine thousand, one hundred twenty".