7146864 has 60 divisors (see below), whose sum is σ = 20659392. Its totient is φ = 2304000.

The previous prime is 7146857. The next prime is 7146871. The reversal of 7146864 is 4686417.

It is an interprime number because it is at equal distance from previous prime (7146857) and next prime (7146871).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3664 + ... + 5264.

Almost surely, 2^7146864 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 7146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329696).

7146864 is an abundant number, since it is smaller than the sum of its proper divisors (13512528).

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

7146864 is a wasteful number, since it uses less digits than its factorization.

7146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1637 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7146864 is about 2673.3619283591. The cubic root of 7146864 is about 192.6216827780.

The spelling of 7146864 in words is "seven million, one hundred forty-six thousand, eight hundred sixty-four".