1307172384 has 96 divisors (see below), whose sum is σ = 4357261440. Its totient is φ = 373476096.

The previous prime is 1307172359. The next prime is 1307172389. The reversal of 1307172384 is 4832717031.

1307172384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (1307172389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102019 + ... + 114114.

It is an arithmetic number, because the mean of its divisors is an integer number (45388140).

Almost surely, 2^1307172384 is an apocalyptic number.

1307172384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1307172384 is an abundant number, since it is smaller than the sum of its proper divisors (3050089056).

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

1307172384 is a wasteful number, since it uses less digits than its factorization.

1307172384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216159 (or 216145 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1307172384 is about 36154.8390122263. The cubic root of 1307172384 is about 1093.3963540248.

The spelling of 1307172384 in words is "one billion, three hundred seven million, one hundred seventy-two thousand, three hundred eighty-four".