1967420900 has 36 divisors (see below), whose sum is σ = 4416527220. Its totient is φ = 759830400.

The previous prime is 1967420867. The next prime is 1967420909. The reversal of 1967420900 is 90247691.

It can be written as a sum of positive squares in 6 ways, for example, as 254785444 + 1712635456 = 15962^2 + 41384^2 .

It is a super-3 number, since 3×1967420900³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1967420909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336311 + ... + 342110.

Almost surely, 2^1967420900 is an apocalyptic number.

1967420900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1967420900 is an abundant number, since it is smaller than the sum of its proper divisors (2449106320).

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

1967420900 is a wasteful number, since it uses less digits than its factorization.

1967420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678464 (or 678457 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1967420900 is about 44355.6185843462. The cubic root of 1967420900 is about 1253.0423811261.

The spelling of 1967420900 in words is "one billion, nine hundred sixty-seven million, four hundred twenty thousand, nine hundred".