654072720 has 320 divisors, whose sum is σ = 2521743360. Its totient is φ = 136857600.

The previous prime is 654072709. The next prime is 654072721. The reversal of 654072720 is 27270456.

It is a super-2 number, since 2×654072720² = 855622246096396800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (654072721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989190 + ... + 989850.

It is an arithmetic number, because the mean of its divisors is an integer number (7880448).

Almost surely, 2^654072720 is an apocalyptic number.

654072720 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 654072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260871680).

654072720 is an abundant number, since it is smaller than the sum of its proper divisors (1867670640).

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

654072720 is a wasteful number, since it uses less digits than its factorization.

654072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 654072720 is about 25574.8454540785. The cubic root of 654072720 is about 868.0445445650.

The spelling of 654072720 in words is "six hundred fifty-four million, seventy-two thousand, seven hundred twenty".