654845040 has 160 divisors (see below), whose sum is σ = 2287026240. Its totient is φ = 172191744.

The previous prime is 654845039. The next prime is 654845047. The reversal of 654845040 is 40548456.

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

It is a junction number, because it is equal to n+sod(n) for n = 654844986 and 654845004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654845047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155604 + ... + 159756.

It is an arithmetic number, because the mean of its divisors is an integer number (14293914).

Almost surely, 2^654845040 is an apocalyptic number.

654845040 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 654845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143513120).

654845040 is an abundant number, since it is smaller than the sum of its proper divisors (1632181200).

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

654845040 is a wasteful number, since it uses less digits than its factorization.

654845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 654845040 is about 25589.9402109501. The cubic root of 654845040 is about 868.3860684993.

The spelling of 654845040 in words is "six hundred fifty-four million, eight hundred forty-five thousand, forty".