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10264320 = 2836511

10264320 has 252 divisors, whose sum is σ = 40213656. Its totient is φ = 2488320.

The previous prime is 10264301. The next prime is 10264337. The reversal of 10264320 is 2346201.

It is a happy number.

10264320 is a `hidden beast` number, since 1 + 0 + 2 + 643 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10264293 and 10264302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933115 + ... + 933125.

It is an arithmetic number, because the mean of its divisors is an integer number (159578).

Almost surely, 210264320 is an apocalyptic number.

10264320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106828).

10264320 is an abundant number, since it is smaller than the sum of its proper divisors (29949336).

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

10264320 is an frugal number, since it uses more digits than its factorization.

10264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10264320 is about 3203.7977464253. The cubic root of 10264320 is about 217.3251865247.

The spelling of 10264320 in words is "ten million, two hundred sixty-four thousand, three hundred twenty".