8861400 has 120 divisors (see below), whose sum is σ = 30833220. Its totient is φ = 2358720.

The previous prime is 8861393. The next prime is 8861401. The reversal of 8861400 is 41688.

8861400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (8861401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15927 + ... + 16473.

Almost surely, 2^8861400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416610).

8861400 is an abundant number, since it is smaller than the sum of its proper divisors (21971820).

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

8861400 is a wasteful number, since it uses less digits than its factorization.

8861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

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

The square root of 8861400 is about 2976.8103735374. The cubic root of 8861400 is about 206.9350773086.

It can be divided in two parts, 8861 and 400, that added together give a cube (9261 = 21³).

The spelling of 8861400 in words is "eight million, eight hundred sixty-one thousand, four hundred".