10492664 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3951360.

The previous prime is 10492661. The next prime is 10492687. The reversal of 10492664 is 46629401.

It is a happy number.

It is a super-2 number, since 2×10492664² = 220191995633792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10492664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492661) 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, 147749 + ... + 147819.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^10492664 is an apocalyptic number.

10492664 is a gapful number since it is divisible by the number (14) 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 10492664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

10492664 is an abundant number, since it is smaller than the sum of its proper divisors (15362536).

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

10492664 is a wasteful number, since it uses less digits than its factorization.

10492664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 10492664 is about 3239.2381820422. The cubic root of 10492664 is about 218.9249480458.

The spelling of 10492664 in words is "ten million, four hundred ninety-two thousand, six hundred sixty-four".