1968225400 has 24 divisors (see below), whose sum is σ = 4576124520. Its totient is φ = 787290080.

The previous prime is 1968225367. The next prime is 1968225407. The reversal of 1968225400 is 45228691.

It is a super-2 number, since 2×1968225400² = 7747822450410320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1968225400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968225407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4920364 + ... + 4920763.

It is an arithmetic number, because the mean of its divisors is an integer number (190671855).

Almost surely, 2^1968225400 is an apocalyptic number.

1968225400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968225400 is an abundant number, since it is smaller than the sum of its proper divisors (2607899120).

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

1968225400 is a wasteful number, since it uses less digits than its factorization.

1968225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9841143 (or 9841134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1968225400 is about 44364.6864070964. The cubic root of 1968225400 is about 1253.2131521124.

The spelling of 1968225400 in words is "one billion, nine hundred sixty-eight million, two hundred twenty-five thousand, four hundred".