1649756160 has 672 divisors, whose sum is σ = 6767462520. Its totient is φ = 382205952.

The previous prime is 1649756159. The next prime is 1649756179. The reversal of 1649756160 is 616579461.

It can be written as a sum of positive squares in 4 ways, for example, as 1254859776 + 394896384 = 35424^2 + 19872^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97044472 + ... + 97044488.

Almost surely, 2^1649756160 is an apocalyptic number.

1649756160 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 1649756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383731260).

1649756160 is an abundant number, since it is smaller than the sum of its proper divisors (5117706360).

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

1649756160 is an equidigital number, since it uses as much as digits as its factorization.

1649756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1649756160 is about 40617.1904493652. The cubic root of 1649756160 is about 1181.6075380288.

The spelling of 1649756160 in words is "one billion, six hundred forty-nine million, seven hundred fifty-six thousand, one hundred sixty".