7854264 has 96 divisors (see below), whose sum is σ = 23811840. Its totient is φ = 2318400.

The previous prime is 7854241. The next prime is 7854269. The reversal of 7854264 is 4624587.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7854269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37119 + ... + 37329.

It is an arithmetic number, because the mean of its divisors is an integer number (248040).

Almost surely, 2^7854264 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 7854264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905920).

7854264 is an abundant number, since it is smaller than the sum of its proper divisors (15957576).

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

7854264 is a wasteful number, since it uses less digits than its factorization.

7854264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7854264 is about 2802.5459853497. The cubic root of 7854264 is about 198.7780831327.

It can be divided in two parts, 78542 and 64, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 7854264 in words is "seven million, eight hundred fifty-four thousand, two hundred sixty-four".