1967101048 has 64 divisors (see below), whose sum is σ = 4158760320. Its totient is φ = 864528000.

The previous prime is 1967101043. The next prime is 1967101049. The reversal of 1967101048 is 8401017691.

It is a junction number, because it is equal to n+sod(n) for n = 1967100998 and 1967101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967101043) 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, 379611 + ... + 384757.

It is an arithmetic number, because the mean of its divisors is an integer number (64980630).

Almost surely, 2^1967101048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1967101048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079380160).

1967101048 is an abundant number, since it is smaller than the sum of its proper divisors (2191659272).

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

1967101048 is a wasteful number, since it uses less digits than its factorization.

1967101048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1967101048 is about 44352.0128968235. The cubic root of 1967101048 is about 1252.9744732993.

The spelling of 1967101048 in words is "one billion, nine hundred sixty-seven million, one hundred one thousand, forty-eight".