654153984 has 216 divisors, whose sum is σ = 2100676032. Its totient is φ = 194088960.

The previous prime is 654153977. The next prime is 654153989. The reversal of 654153984 is 489351456.

It is not an unprimeable number, because it can be changed into a prime (654153989) 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, 1342989 + ... + 1343475.

It is an arithmetic number, because the mean of its divisors is an integer number (9725352).

Almost surely, 2^654153984 is an apocalyptic number.

654153984 is a gapful number since it is divisible by the number (64) 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 654153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050338016).

654153984 is an abundant number, since it is smaller than the sum of its proper divisors (1446522048).

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

654153984 is a wasteful number, since it uses less digits than its factorization.

654153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 654153984 is about 25576.4341533373. The cubic root of 654153984 is about 868.0804925814.

The spelling of 654153984 in words is "six hundred fifty-four million, one hundred fifty-three thousand, nine hundred eighty-four".