10016400 has 120 divisors (see below), whose sum is σ = 34042464. Its totient is φ = 2508800.

The previous prime is 10016387. The next prime is 10016407. The reversal of 10016400 is 461001.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (10016407) 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, 20155 + ... + 20645.

Almost surely, 2^10016400 is an apocalyptic number.

10016400 is a gapful number since it is divisible by the number (10) 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 10016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021232).

10016400 is an abundant number, since it is smaller than the sum of its proper divisors (24026064).

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

10016400 is a wasteful number, since it uses less digits than its factorization.

10016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10016400 is about 3164.8696655629. The cubic root of 10016400 is about 215.5611804408.

Adding to 10016400 its reverse (461001), we get a palindrome (10477401).

The spelling of 10016400 in words is "ten million, sixteen thousand, four hundred".