1611460320 has 48 divisors (see below), whose sum is σ = 5076101520. Its totient is φ = 429722624.

The previous prime is 1611460273. The next prime is 1611460369. The reversal of 1611460320 is 230641161.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1678125 + ... + 1679084.

It is an arithmetic number, because the mean of its divisors is an integer number (105752115).

Almost surely, 2^1611460320 is an apocalyptic number.

1611460320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1611460320 is an abundant number, since it is smaller than the sum of its proper divisors (3464641200).

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

1611460320 is a wasteful number, since it uses less digits than its factorization.

1611460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357227 (or 3357219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1611460320 is about 40142.9983932441. The cubic root of 1611460320 is about 1172.3929692885.

The spelling of 1611460320 in words is "one billion, six hundred eleven million, four hundred sixty thousand, three hundred twenty".