8620400400 has 60 divisors (see below), whose sum is σ = 27614019792. Its totient is φ = 2298773120.

The previous prime is 8620400381. The next prime is 8620400407. The reversal of 8620400400 is 40040268.

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

It is a super-2 number, since 2×8620400400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8620400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3590634 + ... + 3593033.

Almost surely, 2^8620400400 is an apocalyptic number.

8620400400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8620400400 is an abundant number, since it is smaller than the sum of its proper divisors (18993619392).

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

8620400400 is a wasteful number, since it uses less digits than its factorization.

8620400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183688 (or 7183677 counting only the distinct ones).

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

The square root of 8620400400 is about 92846.1113886844. Note that the first 3 decimals coincide. The cubic root of 8620400400 is about 2050.4183480931.

Adding to 8620400400 its reverse (40040268), we get a palindrome (8660440668).

The spelling of 8620400400 in words is "eight billion, six hundred twenty million, four hundred thousand, four hundred".