1654268616 has 384 divisors, whose sum is σ = 6285686400. Its totient is φ = 396264960.

The previous prime is 1654268569. The next prime is 1654268641. The reversal of 1654268616 is 6168624561.

1654268616 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 26 + 8 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1512966 + ... + 1514058.

It is an arithmetic number, because the mean of its divisors is an integer number (16368975).

Almost surely, 2^1654268616 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 1654268616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142843200).

1654268616 is an abundant number, since it is smaller than the sum of its proper divisors (4631417784).

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

1654268616 is a wasteful number, since it uses less digits than its factorization.

1654268616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1654268616 is about 40672.7011151214. The cubic root of 1654268616 is about 1182.6838785133.

It can be divided in two parts, 16542 and 68616, that added together give a palindrome (85158).

The spelling of 1654268616 in words is "one billion, six hundred fifty-four million, two hundred sixty-eight thousand, six hundred sixteen".