1648088640 has 224 divisors, whose sum is σ = 6343009920. Its totient is φ = 399513600.

The previous prime is 1648088639. The next prime is 1648088641. The reversal of 1648088640 is 468808461.

It is an interprime number because it is at equal distance from previous prime (1648088639) and next prime (1648088641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1648088641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86370 + ... + 103710.

Almost surely, 2^1648088640 is an apocalyptic number.

1648088640 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 1648088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171504960).

1648088640 is an abundant number, since it is smaller than the sum of its proper divisors (4694921280).

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

1648088640 is a wasteful number, since it uses less digits than its factorization.

1648088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17378 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1648088640 is about 40596.6579905292. The cubic root of 1648088640 is about 1181.2092936338.

The spelling of 1648088640 in words is "one billion, six hundred forty-eight million, eighty-eight thousand, six hundred forty".