7038240 has 192 divisors, whose sum is σ = 25546752. Its totient is φ = 1612800.

The previous prime is 7038211. The next prime is 7038247. The reversal of 7038240 is 428307.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7038240.

It is not an unprimeable number, because it can be changed into a prime (7038247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163659 + ... + 163701.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 2^7038240 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 7038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376).

7038240 is an abundant number, since it is smaller than the sum of its proper divisors (18508512).

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

7038240 is a wasteful number, since it uses less digits than its factorization.

7038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7038240 is about 2652.9681490738. The cubic root of 7038240 is about 191.6408215519.

The spelling of 7038240 in words is "seven million, thirty-eight thousand, two hundred forty".