654605952 has 384 divisors, whose sum is σ = 2365355520. Its totient is φ = 155750400.

The previous prime is 654605933. The next prime is 654605953. The reversal of 654605952 is 259506456.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (654605953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996927 + ... + 4997057.

It is an arithmetic number, because the mean of its divisors is an integer number (6159780).

Almost surely, 2^654605952 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 654605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182677760).

654605952 is an abundant number, since it is smaller than the sum of its proper divisors (1710749568).

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

654605952 is a wasteful number, since it uses less digits than its factorization.

654605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 654605952 is about 25585.2682612475. The cubic root of 654605952 is about 868.2803712485.

It can be divided in two parts, 654 and 605952, that added together give a palindrome (606606).

The spelling of 654605952 in words is "six hundred fifty-four million, six hundred five thousand, nine hundred fifty-two".