684272160 has 288 divisors, whose sum is σ = 2744134848. Its totient is φ = 153077760.

The previous prime is 684272153. The next prime is 684272177. The reversal of 684272160 is 61272486.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204259 + ... + 207581.

It is an arithmetic number, because the mean of its divisors is an integer number (9528246).

Almost surely, 2^684272160 is an apocalyptic number.

684272160 is a gapful number since it is divisible by the number (60) 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 684272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372067424).

684272160 is an abundant number, since it is smaller than the sum of its proper divisors (2059862688).

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

684272160 is a wasteful number, since it uses less digits than its factorization.

684272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 684272160 is about 26158.5962926148. The cubic root of 684272160 is about 881.2036559301.

The spelling of 684272160 in words is "six hundred eighty-four million, two hundred seventy-two thousand, one hundred sixty".