1967925960 has 768 divisors, whose sum is σ = 8856207360. Its totient is φ = 365783040.

The previous prime is 1967925959. The next prime is 1967925961. The reversal of 1967925960 is 695297691.

It is an interprime number because it is at equal distance from previous prime (1967925959) and next prime (1967925961).

It is a junction number, because it is equal to n+sod(n) for n = 1967925897 and 1967925906.

It is not an unprimeable number, because it can be changed into a prime (1967925961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15495417 + ... + 15495543.

It is an arithmetic number, because the mean of its divisors is an integer number (11531520).

Almost surely, 2^1967925960 is an apocalyptic number.

1967925960 is a gapful number since it is divisible by the number (10) 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 1967925960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428103680).

1967925960 is an abundant number, since it is smaller than the sum of its proper divisors (6888281400).

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

1967925960 is a wasteful number, since it uses less digits than its factorization.

1967925960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 1967925960 is about 44361.3115225418. The cubic root of 1967925960 is about 1253.1495955065.

The spelling of 1967925960 in words is "one billion, nine hundred sixty-seven million, nine hundred twenty-five thousand, nine hundred sixty".