919264 has 24 divisors (see below), whose sum is σ = 1890000. Its totient is φ = 439296.

The previous prime is 919253. The next prime is 919267. The reversal of 919264 is 462919.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112 + ... + 1360.

It is an arithmetic number, because the mean of its divisors is an integer number (78750).

2⁹¹⁹²⁶⁴ 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 919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945000).

919264 is an abundant number, since it is smaller than the sum of its proper divisors (970736).

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

919264 is a wasteful number, since it uses less digits than its factorization.

919264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 919264 is about 958.7825613767. The cubic root of 919264 is about 97.2329400006.

The spelling of 919264 in words is "nine hundred nineteen thousand, two hundred sixty-four".