1009677312 has 440 divisors, whose sum is σ = 3614248704. Its totient is φ = 274710528.

The previous prime is 1009677301. The next prime is 1009677329. The reversal of 1009677312 is 2137769001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21482473 + ... + 21482519.

Almost surely, 2^1009677312 is an apocalyptic number.

1009677312 is a gapful number since it is divisible by the number (12) 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 1009677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807124352).

1009677312 is an abundant number, since it is smaller than the sum of its proper divisors (2604571392).

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

1009677312 is an equidigital number, since it uses as much as digits as its factorization.

1009677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1009677312 is about 31775.4199342825. The cubic root of 1009677312 is about 1003.2154206553.

The spelling of 1009677312 in words is "one billion, nine million, six hundred seventy-seven thousand, three hundred twelve".