1654064640 has 480 divisors, whose sum is σ = 6273723456. Its totient is φ = 401080320.

The previous prime is 1654064609. The next prime is 1654064641. The reversal of 1654064640 is 464604561.

1654064640 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1654064595 and 1654064604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1654064641) 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, 16058829 + ... + 16058931.

Almost surely, 2^1654064640 is an apocalyptic number.

1654064640 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 1654064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136861728).

1654064640 is an abundant number, since it is smaller than the sum of its proper divisors (4619658816).

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

1654064640 is a wasteful number, since it uses less digits than its factorization.

1654064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1654064640 is about 40670.1935082684. The cubic root of 1654064640 is about 1182.6352670927.

The spelling of 1654064640 in words is "one billion, six hundred fifty-four million, sixty-four thousand, six hundred forty".