1009654272 has 120 divisors (see below), whose sum is σ = 3178992960. Its totient is φ = 305940480.

The previous prime is 1009654237. The next prime is 1009654297. The reversal of 1009654272 is 2724569001.

1009654272 is a `hidden beast` number, since 100 + 9 + 6 + 542 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40729 + ... + 60647.

It is an arithmetic number, because the mean of its divisors is an integer number (26491608).

Almost surely, 2^1009654272 is an apocalyptic number.

1009654272 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 1009654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589496480).

1009654272 is an abundant number, since it is smaller than the sum of its proper divisors (2169338688).

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

1009654272 is a wasteful number, since it uses less digits than its factorization.

1009654272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19954 (or 19935 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1009654272 is about 31775.0573878317. The cubic root of 1009654272 is about 1003.2077897490.

The spelling of 1009654272 in words is "one billion, nine million, six hundred fifty-four thousand, two hundred seventy-two".