1466736096 has 96 divisors (see below), whose sum is σ = 4411991808. Its totient is φ = 417945600.

The previous prime is 1466736049. The next prime is 1466736101. The reversal of 1466736096 is 6906376641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266751 + ... + 272193.

It is an arithmetic number, because the mean of its divisors is an integer number (45958248).

Almost surely, 2^1466736096 is an apocalyptic number.

1466736096 is a gapful number since it is divisible by the number (16) 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 1466736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205995904).

1466736096 is an abundant number, since it is smaller than the sum of its proper divisors (2945255712).

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

1466736096 is a wasteful number, since it uses less digits than its factorization.

1466736096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 1466736096 is about 38297.9907566964. The cubic root of 1466736096 is about 1136.1892083838.

The spelling of 1466736096 in words is "one billion, four hundred sixty-six million, seven hundred thirty-six thousand, ninety-six".