1916870400 has 216 divisors, whose sum is σ = 7029602160. Its totient is φ = 511119360.

The previous prime is 1916870387. The next prime is 1916870413. The reversal of 1916870400 is 40786191.

1916870400 is a `hidden beast` number, since 191 + 68 + 7 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1916870387) and next prime (1916870413).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167254 + ... + 178346.

Almost surely, 2^1916870400 is an apocalyptic number.

1916870400 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 1916870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514801080).

1916870400 is an abundant number, since it is smaller than the sum of its proper divisors (5112731760).

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

1916870400 is a wasteful number, since it uses less digits than its factorization.

1916870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1916870400 is about 43782.0785253510. The cubic root of 1916870400 is about 1242.2173299351.

The spelling of 1916870400 in words is "one billion, nine hundred sixteen million, eight hundred seventy thousand, four hundred".