1916400 has 60 divisors (see below), whose sum is σ = 6142712. Its totient is φ = 510720.

The previous prime is 1916371. The next prime is 1916413. The reversal of 1916400 is 46191.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 402 + ... + 1998.

2^1916400 is an apocalyptic number.

1916400 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 1916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071356).

1916400 is an abundant number, since it is smaller than the sum of its proper divisors (4226312).

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

1916400 is a wasteful number, since it uses less digits than its factorization.

1916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1916400 is about 1384.3409984538. The cubic root of 1916400 is about 124.2115708244.

The spelling of 1916400 in words is "one million, nine hundred sixteen thousand, four hundred".