654428160 has 288 divisors, whose sum is σ = 2361078720. Its totient is φ = 173850624.

The previous prime is 654428149. The next prime is 654428167. The reversal of 654428160 is 61824456.

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

It is a super-3 number, since 3×654428160³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (654428167) 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, 2488189 + ... + 2488451.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2^654428160 is an apocalyptic number.

654428160 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 654428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

654428160 is an abundant number, since it is smaller than the sum of its proper divisors (1706650560).

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

654428160 is an equidigital number, since it uses as much as digits as its factorization.

654428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 654428160 is about 25581.7935258652. The cubic root of 654428160 is about 868.2017553619.

The spelling of 654428160 in words is "six hundred fifty-four million, four hundred twenty-eight thousand, one hundred sixty".