4107264 has 88 divisors (see below), whose sum is σ = 12576768. Its totient is φ = 1167360.

The previous prime is 4107263. The next prime is 4107281. The reversal of 4107264 is 4627014.

It is a super-5 number, since 5×4107264⁵ (a number of 34 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4107263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21409 + ... + 21599.

Almost surely, 2^4107264 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 4107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288384).

4107264 is an abundant number, since it is smaller than the sum of its proper divisors (8469504).

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

4107264 is a wasteful number, since it uses less digits than its factorization.

4107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

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

The square root of 4107264 is about 2026.6385962968. The cubic root of 4107264 is about 160.1465324272.

It can be divided in two parts, 4107 and 264, that added together give a triangular number (4371 = T₉₃).

The spelling of 4107264 in words is "four million, one hundred seven thousand, two hundred sixty-four".