1009229760 has 896 divisors, whose sum is σ = 4670023680. Its totient is φ = 199065600.

The previous prime is 1009229759. The next prime is 1009229761. The reversal of 1009229760 is 679229001.

It is an interprime number because it is at equal distance from previous prime (1009229759) and next prime (1009229761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009229761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24615340 + ... + 24615380.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^1009229760 is an apocalyptic number.

1009229760 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 1009229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335011840).

1009229760 is an abundant number, since it is smaller than the sum of its proper divisors (3660793920).

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

1009229760 is a wasteful number, since it uses less digits than its factorization.

1009229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1009229760 is about 31768.3767290682. The cubic root of 1009229760 is about 1003.0671695196.

The spelling of 1009229760 in words is "one billion, nine million, two hundred twenty-nine thousand, seven hundred sixty".