1868400 has 120 divisors (see below), whose sum is σ = 6688560. Its totient is φ = 495360.

The previous prime is 1868387. The next prime is 1868407. The reversal of 1868400 is 48681.

1868400 = 70³ + 71³ + ... + 74³.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10714 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (55738).

2^1868400 is an apocalyptic number.

1868400 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 1868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344280).

1868400 is an abundant number, since it is smaller than the sum of its proper divisors (4820160).

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

1868400 is a wasteful number, since it uses less digits than its factorization.

1868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1868400 is about 1366.8942899873. The cubic root of 1868400 is about 123.1657491790.

The spelling of 1868400 in words is "one million, eight hundred sixty-eight thousand, four hundred".