1967377216 has 56 divisors (see below), whose sum is σ = 4474870400. Its totient is φ = 840678912.

The previous prime is 1967377201. The next prime is 1967377253. The reversal of 1967377216 is 6127737691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1967377216² = 7741146220071821312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1967377216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150061 + ... + 162643.

It is an arithmetic number, because the mean of its divisors is an integer number (79908400).

Almost surely, 2^1967377216 is an apocalyptic number.

1967377216 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 1967377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237435200).

1967377216 is an abundant number, since it is smaller than the sum of its proper divisors (2507493184).

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

1967377216 is a wasteful number, since it uses less digits than its factorization.

1967377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951 (or 12941 counting only the distinct ones).

The product of its digits is 666792, while the sum is 49.

The square root of 1967377216 is about 44355.1261524528. The cubic root of 1967377216 is about 1253.0331070034.

The spelling of 1967377216 in words is "one billion, nine hundred sixty-seven million, three hundred seventy-seven thousand, two hundred sixteen".