1654896960 has 448 divisors, whose sum is σ = 6517843200. Its totient is φ = 392822784.

The previous prime is 1654896923. The next prime is 1654896961. The reversal of 1654896960 is 696984561.

It is a happy number.

1654896960 is a `hidden beast` number, since 1 + 6 + 548 + 9 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1654896897 and 1654896906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1654896961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790424 + ... + 2791016.

Almost surely, 2^1654896960 is an apocalyptic number.

1654896960 is a gapful number since it is divisible by the number (10) 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 1654896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258921600).

1654896960 is an abundant number, since it is smaller than the sum of its proper divisors (4862946240).

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

1654896960 is a wasteful number, since it uses less digits than its factorization.

1654896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1654896960 is about 40680.4247765433. The cubic root of 1654896960 is about 1182.8335999155.

The spelling of 1654896960 in words is "one billion, six hundred fifty-four million, eight hundred ninety-six thousand, nine hundred sixty".