8400920 has 64 divisors (see below), whose sum is σ = 21025440. Its totient is φ = 2995200.

The previous prime is 8400919. The next prime is 8400937. The reversal of 8400920 is 290048.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26684 + ... + 26996.

Almost surely, 2^8400920 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 8400920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512720).

8400920 is an abundant number, since it is smaller than the sum of its proper divisors (12624520).

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

8400920 is a wasteful number, since it uses less digits than its factorization.

8400920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8400920 is about 2898.4340599710. The cubic root of 8400920 is about 203.2866923988.

Adding to 8400920 its reverse (290048), we get a palindrome (8690968).

The spelling of 8400920 in words is "eight million, four hundred thousand, nine hundred twenty".