1967961600 has 360 divisors, whose sum is σ = 7687992312. Its totient is φ = 476774400.

The previous prime is 1967961577. The next prime is 1967961601. The reversal of 1967961600 is 61697691.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266424 + ... + 1267976.

Almost surely, 2^1967961600 is an apocalyptic number.

1967961600 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 1967961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843996156).

1967961600 is an abundant number, since it is smaller than the sum of its proper divisors (5720030712).

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

1967961600 is a wasteful number, since it uses less digits than its factorization.

1967961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1967961600 is about 44361.7132221018. The cubic root of 1967961600 is about 1253.1571604900.

The spelling of 1967961600 in words is "one billion, nine hundred sixty-seven million, nine hundred sixty-one thousand, six hundred".