1648893792 has 144 divisors (see below), whose sum is σ = 5356834560. Its totient is φ = 434843136.

The previous prime is 1648893787. The next prime is 1648893797. The reversal of 1648893792 is 2973988461.

It is an interprime number because it is at equal distance from previous prime (1648893787) and next prime (1648893797).

It is a super-2 number, since 2×1648893792² = 5437701474592278528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648893797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106309 + ... + 120827.

It is an arithmetic number, because the mean of its divisors is an integer number (37200240).

Almost surely, 2^1648893792 is an apocalyptic number.

1648893792 is a gapful number since it is divisible by the number (12) 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 1648893792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678417280).

1648893792 is an abundant number, since it is smaller than the sum of its proper divisors (3707940768).

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

1648893792 is a wasteful number, since it uses less digits than its factorization.

1648893792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14565 (or 14544 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 1648893792 is about 40606.5732609882. The cubic root of 1648893792 is about 1181.4016170662.

The spelling of 1648893792 in words is "one billion, six hundred forty-eight million, eight hundred ninety-three thousand, seven hundred ninety-two".