8940400 has 120 divisors (see below), whose sum is σ = 25585664. Its totient is φ = 2937600.

The previous prime is 8940397. The next prime is 8940427. The reversal of 8940400 is 40498.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86749 + ... + 86851.

Almost surely, 2^8940400 is an apocalyptic number.

8940400 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 8940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792832).

8940400 is an abundant number, since it is smaller than the sum of its proper divisors (16645264).

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

8940400 is a wasteful number, since it uses less digits than its factorization.

8940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8940400 is about 2990.0501668032. The cubic root of 8940400 is about 207.5482057644.

Adding to 8940400 its reverse (40498), we get a palindrome (8980898).

The spelling of 8940400 in words is "eight million, nine hundred forty thousand, four hundred".