1967400992 has 18 divisors (see below), whose sum is σ = 3873814749. Its totient is φ = 983575040.

The previous prime is 1967400991. The next prime is 1967401013. The reversal of 1967400992 is 2990047691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1922296336 + 45104656 = 43844^2 + 6716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31364.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1967400991) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 246992 + ... + 254832.

Almost surely, 2^1967400992 is an apocalyptic number.

It is an amenable number.

1967400992 is a deficient number, since it is larger than the sum of its proper divisors (1906413757).

1967400992 is an frugal number, since it uses more digits than its factorization.

1967400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15692 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 1967400992 is about 44355.3941702698. The cubic root of 1967400992 is about 1253.0381546704.

The spelling of 1967400992 in words is "one billion, nine hundred sixty-seven million, four hundred thousand, nine hundred ninety-two".