1654628864 has 120 divisors (see below), whose sum is σ = 3889810188. Its totient is φ = 701030400.

The previous prime is 1654628861. The next prime is 1654628867. The reversal of 1654628864 is 4688264561.

It is an interprime number because it is at equal distance from previous prime (1654628861) and next prime (1654628867).

It can be written as a sum of positive squares in 2 ways, for example, as 1616683264 + 37945600 = 40208^2 + 6160^2 .

It is not an unprimeable number, because it can be changed into a prime (1654628861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2533562 + ... + 2534214.

Almost surely, 2^1654628864 is an apocalyptic number.

1654628864 is a gapful number since it is divisible by the number (14) 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 1654628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944905094).

1654628864 is an abundant number, since it is smaller than the sum of its proper divisors (2235181324).

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

1654628864 is an equidigital number, since it uses as much as digits as its factorization.

1654628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 1654628864 is about 40677.1294955777. The cubic root of 1654628864 is about 1182.7697228101.

The spelling of 1654628864 in words is "one billion, six hundred fifty-four million, six hundred twenty-eight thousand, eight hundred sixty-four".