1654240896 has 384 divisors, whose sum is σ = 6289695360. Its totient is φ = 404029440.

The previous prime is 1654240859. The next prime is 1654240897. The reversal of 1654240896 is 6980424561.

1654240896 is a `hidden beast` number, since 16 + 542 + 4 + 0 + 8 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1654240897) 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 47 ways as a sum of consecutive naturals, for example, 1507420 + ... + 1508516.

It is an arithmetic number, because the mean of its divisors is an integer number (16379415).

Almost surely, 2^1654240896 is an apocalyptic number.

1654240896 is a gapful number since it is divisible by the number (16) 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 1654240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144847680).

1654240896 is an abundant number, since it is smaller than the sum of its proper divisors (4635454464).

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

1654240896 is a wasteful number, since it uses less digits than its factorization.

1654240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

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

The square root of 1654240896 is about 40672.3603445878. The cubic root of 1654240896 is about 1182.6772725365.

The spelling of 1654240896 in words is "one billion, six hundred fifty-four million, two hundred forty thousand, eight hundred ninety-six".