684153009 has 24 divisors (see below), whose sum is σ = 1053142272. Its totient is φ = 426983040.

The previous prime is 684152999. The next prime is 684153011. The reversal of 684153009 is 900351486.

It is not a de Polignac number, because 684153009 - 2⁴ = 684152993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (684153059) 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, 25432 + ... + 44889.

It is an arithmetic number, because the mean of its divisors is an integer number (43880928).

Almost surely, 2^684153009 is an apocalyptic number.

684153009 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

684153009 is a deficient number, since it is larger than the sum of its proper divisors (368989263).

684153009 is a wasteful number, since it uses less digits than its factorization.

684153009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70397 (or 70394 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 684153009 is about 26156.3187203398. The cubic root of 684153009 is about 881.1525055264.

The spelling of 684153009 in words is "six hundred eighty-four million, one hundred fifty-three thousand, nine".