1009812672 has 168 divisors, whose sum is σ = 3225710592. Its totient is φ = 299404800.

The previous prime is 1009812653. The next prime is 1009812673. The reversal of 1009812672 is 2762189001.

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

It is not an unprimeable number, because it can be changed into a prime (1009812673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296097 + ... + 299487.

Almost surely, 2^1009812672 is an apocalyptic number.

1009812672 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 1009812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612855296).

1009812672 is an abundant number, since it is smaller than the sum of its proper divisors (2215897920).

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

1009812672 is a wasteful number, since it uses less digits than its factorization.

1009812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1009812672 is about 31777.5498111481. The cubic root of 1009812672 is about 1003.2602498860.

The spelling of 1009812672 in words is "one billion, nine million, eight hundred twelve thousand, six hundred seventy-two".