8264400 has 120 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 2150400.

The previous prime is 8264387. The next prime is 8264401. The reversal of 8264400 is 44628.

8264400 is digitally balanced in base 4, because in such base 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 (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8264401) 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, 85152 + ... + 85248.

Almost surely, 2^8264400 is an apocalyptic number.

8264400 is a gapful number since it is divisible by the number (80) 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 8264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

8264400 is an abundant number, since it is smaller than the sum of its proper divisors (18858864).

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

8264400 is a wasteful number, since it uses less digits than its factorization.

8264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8264400 is about 2874.7869486277. The cubic root of 8264400 is about 202.1794960429.

The spelling of 8264400 in words is "eight million, two hundred sixty-four thousand, four hundred".