654435072 has 144 divisors (see below), whose sum is σ = 1963302880. Its totient is φ = 214990848.

The previous prime is 654435059. The next prime is 654435073. The reversal of 654435072 is 270534456.

It is a tau number, because it is divible by the number of its divisors (144).

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 (654435073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503928 + ... + 505224.

Almost surely, 2^654435072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981651440).

654435072 is an abundant number, since it is smaller than the sum of its proper divisors (1308867808).

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

654435072 is a wasteful number, since it uses less digits than its factorization.

654435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 654435072 is about 25581.9286215875. The cubic root of 654435072 is about 868.2048119691.

It can be divided in two parts, 6544 and 35072, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 654435072 in words is "six hundred fifty-four million, four hundred thirty-five thousand, seventy-two".