7361406 has 48 divisors (see below), whose sum is σ = 17371536. Its totient is φ = 2239488.

The previous prime is 7361399. The next prime is 7361407. The reversal of 7361406 is 6041637.

It is a self number, because there is not a number n which added to its sum of digits gives 7361406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7361407) 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 23 ways as a sum of consecutive naturals, for example, 38046 + ... + 38238.

It is an arithmetic number, because the mean of its divisors is an integer number (361907).

Almost surely, 2^7361406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7361406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685768).

7361406 is an abundant number, since it is smaller than the sum of its proper divisors (10010130).

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

7361406 is a wasteful number, since it uses less digits than its factorization.

7361406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7361406 is about 2713.1911101137. The cubic root of 7361406 is about 194.5301508672.

The spelling of 7361406 in words is "seven million, three hundred sixty-one thousand, four hundred six".