1649164320 has 192 divisors, whose sum is σ = 5913492480. Its totient is φ = 429004800.

The previous prime is 1649164301. The next prime is 1649164327. The reversal of 1649164320 is 234619461.

1649164320 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 1 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×1649164320² = 5439485908722124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1649164327) 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, 172465 + ... + 181775.

It is an arithmetic number, because the mean of its divisors is an integer number (30799440).

Almost surely, 2^1649164320 is an apocalyptic number.

1649164320 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 1649164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956746240).

1649164320 is an abundant number, since it is smaller than the sum of its proper divisors (4264328160).

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

1649164320 is a wasteful number, since it uses less digits than its factorization.

1649164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1649164320 is about 40609.9042106725. The cubic root of 1649164320 is about 1181.4662229535.

The spelling of 1649164320 in words is "one billion, six hundred forty-nine million, one hundred sixty-four thousand, three hundred twenty".