7106400 has 288 divisors, whose sum is σ = 29998080. Its totient is φ = 1589760.

The previous prime is 7106389. The next prime is 7106419. The reversal of 7106400 is 46017.

7106400 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151177 + ... + 151223.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^7106400 is an apocalyptic number.

7106400 is a gapful number since it is divisible by the number (70) 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 7106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

7106400 is an abundant number, since it is smaller than the sum of its proper divisors (22891680).

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

7106400 is a wasteful number, since it uses less digits than its factorization.

7106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7106400 is about 2665.7831869828. The cubic root of 7106400 is about 192.2574670889.

The spelling of 7106400 in words is "seven million, one hundred six thousand, four hundred".