7346164 has 48 divisors (see below), whose sum is σ = 15523200. Its totient is φ = 2975616.

The previous prime is 7346161. The next prime is 7346167. The reversal of 7346164 is 4616437.

7346164 = 32² + 33² + ... + 280².

It is an interprime number because it is at equal distance from previous prime (7346161) and next prime (7346167).

It is a super-2 number, since 2×7346164² = 107932251029792, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7346161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67342 + ... + 67450.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^7346164 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 7346164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761600).

7346164 is an abundant number, since it is smaller than the sum of its proper divisors (8177036).

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

7346164 is a wasteful number, since it uses less digits than its factorization.

7346164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 7346164 is about 2710.3807850559. The cubic root of 7346164 is about 194.3957980316.

The spelling of 7346164 in words is "seven million, three hundred forty-six thousand, one hundred sixty-four".