1967496960 has 288 divisors, whose sum is σ = 7384301568. Its totient is φ = 440156160.

The previous prime is 1967496953. The next prime is 1967496977. The reversal of 1967496960 is 696947691.

It is a self number, because there is not a number n which added to its sum of digits gives 1967496960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547329 + ... + 550911.

It is an arithmetic number, because the mean of its divisors is an integer number (25639936).

Almost surely, 2^1967496960 is an apocalyptic number.

1967496960 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 1967496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692150784).

1967496960 is an abundant number, since it is smaller than the sum of its proper divisors (5416804608).

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

1967496960 is a wasteful number, since it uses less digits than its factorization.

1967496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 1967496960 is about 44356.4759646210. The cubic root of 1967496960 is about 1253.0585283530.

The spelling of 1967496960 in words is "one billion, nine hundred sixty-seven million, four hundred ninety-six thousand, nine hundred sixty".