654313920 has 336 divisors, whose sum is σ = 2331537120. Its totient is φ = 155271168.

The previous prime is 654313909. The next prime is 654313943. The reversal of 654313920 is 29313456.

It is a congruent number.

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, 6002826 + ... + 6002934.

Almost surely, 2^654313920 is an apocalyptic number.

654313920 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 654313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165768560).

654313920 is an abundant number, since it is smaller than the sum of its proper divisors (1677223200).

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

654313920 is a wasteful number, since it uses less digits than its factorization.

654313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 654313920 is about 25579.5605904402. The cubic root of 654313920 is about 868.1512333202.

The spelling of 654313920 in words is "six hundred fifty-four million, three hundred thirteen thousand, nine hundred twenty".