684241920 has 264 divisors, whose sum is σ = 2452469760. Its totient is φ = 176209920.

The previous prime is 684241913. The next prime is 684241937. The reversal of 684241920 is 29142486.

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 23 ways as a sum of consecutive naturals, for example, 1428241 + ... + 1428719.

Almost surely, 2^684241920 is an apocalyptic number.

684241920 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 684241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226234880).

684241920 is an abundant number, since it is smaller than the sum of its proper divisors (1768227840).

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

684241920 is a wasteful number, since it uses less digits than its factorization.

684241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 684241920 is about 26158.0182735619. The cubic root of 684241920 is about 881.1906747448.

The spelling of 684241920 in words is "six hundred eighty-four million, two hundred forty-one thousand, nine hundred twenty".