654339840 has 288 divisors, whose sum is σ = 2606639616. Its totient is φ = 135905280.

The previous prime is 654339839. The next prime is 654339883. The reversal of 654339840 is 48933456.

It is a super-2 number, since 2×654339840² = 856321252422451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 654339792 and 654339801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294574 + ... + 296786.

It is an arithmetic number, because the mean of its divisors is an integer number (9050832).

Almost surely, 2^654339840 is an apocalyptic number.

654339840 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 654339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303319808).

654339840 is an abundant number, since it is smaller than the sum of its proper divisors (1952299776).

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

654339840 is a wasteful number, since it uses less digits than its factorization.

654339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 654339840 is about 25580.0672399429. The cubic root of 654339840 is about 868.1626968202.

The spelling of 654339840 in words is "six hundred fifty-four million, three hundred thirty-nine thousand, eight hundred forty".