1872064416 has 48 divisors (see below), whose sum is σ = 4917374784. Its totient is φ = 623614464.

The previous prime is 1872064399. The next prime is 1872064417. The reversal of 1872064416 is 6144602781.

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

It is not an unprimeable number, because it can be changed into a prime (1872064417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165700 + ... + 176636.

It is an arithmetic number, because the mean of its divisors is an integer number (102445308).

Almost surely, 2^1872064416 is an apocalyptic number.

1872064416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1872064416 is an abundant number, since it is smaller than the sum of its proper divisors (3045310368).

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

1872064416 is a wasteful number, since it uses less digits than its factorization.

1872064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1872064416 is about 43267.3597068275. The cubic root of 1872064416 is about 1232.4621656719.

The spelling of 1872064416 in words is "one billion, eight hundred seventy-two million, sixty-four thousand, four hundred sixteen".