1088400 has 60 divisors (see below), whose sum is σ = 3490352. Its totient is φ = 289920.

The previous prime is 1088393. The next prime is 1088407. The reversal of 1088400 is 48801.

It is an interprime number because it is at equal distance from previous prime (1088393) and next prime (1088407).

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

It is a super-2 number, since 2×1088400² = 2369229120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1088407) 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, 747 + ... + 1653.

2^1088400 is an apocalyptic number.

1088400 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 1088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745176).

1088400 is an abundant number, since it is smaller than the sum of its proper divisors (2401952).

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

1088400 is a wasteful number, since it uses less digits than its factorization.

1088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1088400 is about 1043.2641084596. The cubic root of 1088400 is about 102.8638664035.

It can be divided in two parts, 10 and 88400, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 1088400 in words is "one million, eighty-eight thousand, four hundred".