7354864 has 60 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 3203200.

The previous prime is 7354861. The next prime is 7354873. The reversal of 7354864 is 4684537.

7354864 = 456² + 457² + ... + 488².

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7354861) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56079 + ... + 56209.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 2^7354864 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 7354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

7354864 is an abundant number, since it is smaller than the sum of its proper divisors (8972216).

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

7354864 is a wasteful number, since it uses less digits than its factorization.

7354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 7354864 is about 2711.9852506974. The cubic root of 7354864 is about 194.4725081913.

The spelling of 7354864 in words is "seven million, three hundred fifty-four thousand, eight hundred sixty-four".