1649088000 has 480 divisors, whose sum is σ = 6804832320. Its totient is φ = 376012800.

The previous prime is 1649087983. The next prime is 1649088041. The reversal of 1649088000 is 8809461.

It is a happy number.

1649088000 is a `hidden beast` number, since 1 + 649 + 0 + 8 + 8 + 0 + 0 + 0 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031796 + ... + 4032204.

It is an arithmetic number, because the mean of its divisors is an integer number (14176734).

Almost surely, 2^1649088000 is an apocalyptic number.

1649088000 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 1649088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402416160).

1649088000 is an abundant number, since it is smaller than the sum of its proper divisors (5155744320).

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

1649088000 is an equidigital number, since it uses as much as digits as its factorization.

1649088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1649088000 is about 40608.9645275523. The cubic root of 1649088000 is about 1181.4479973807.

The spelling of 1649088000 in words is "one billion, six hundred forty-nine million, eighty-eight thousand".