1968590400 has 336 divisors, whose sum is σ = 7566599040. Its totient is φ = 438681600.

The previous prime is 1968590381. The next prime is 1968590423. The reversal of 1968590400 is 40958691.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376886 + ... + 1378314.

It is an arithmetic number, because the mean of its divisors is an integer number (22519640).

Almost surely, 2^1968590400 is an apocalyptic number.

1968590400 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 1968590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783299520).

1968590400 is an abundant number, since it is smaller than the sum of its proper divisors (5598008640).

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

1968590400 is a wasteful number, since it uses less digits than its factorization.

1968590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1968590400 is about 44368.7998485422. The cubic root of 1968590400 is about 1253.2906152132.

The spelling of 1968590400 in words is "one billion, nine hundred sixty-eight million, five hundred ninety thousand, four hundred".