7140000 has 240 divisors, whose sum is σ = 28340928. Its totient is φ = 1536000.

The previous prime is 7139999. The next prime is 7140011. The reversal of 7140000 is 417.

7140000 = T₄₄₀ + T₄₄₁ + ... + T₅₀₃.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419992 + ... + 420008.

Almost surely, 2^7140000 is an apocalyptic number.

7140000 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 7140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170464).

7140000 is an abundant number, since it is smaller than the sum of its proper divisors (21200928).

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

7140000 is a wasteful number, since it uses less digits than its factorization.

7140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7140000 is about 2672.0778431775. The cubic root of 7140000 is about 192.5599970404.

Adding to 7140000 its reverse (417), we get a palindrome (7140417).

The spelling of 7140000 in words is "seven million, one hundred forty thousand".