654916416 has 224 divisors, whose sum is σ = 2231623680. Its totient is φ = 164505600.

The previous prime is 654916403. The next prime is 654916417. The reversal of 654916416 is 614619456.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654916417) 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, 457590 + ... + 459018.

Almost surely, 2^654916416 is an apocalyptic number.

654916416 is a gapful number since it is divisible by the number (66) 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 654916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115811840).

654916416 is an abundant number, since it is smaller than the sum of its proper divisors (1576707264).

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

654916416 is a wasteful number, since it uses less digits than its factorization.

654916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 654916416 is about 25591.3347834770. The cubic root of 654916416 is about 868.4176177812.

The spelling of 654916416 in words is "six hundred fifty-four million, nine hundred sixteen thousand, four hundred sixteen".