10292640 has 96 divisors (see below), whose sum is σ = 33276096. Its totient is φ = 2672640.

The previous prime is 10292627. The next prime is 10292647. The reversal of 10292640 is 4629201.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10292640.

It is not an unprimeable number, because it can be changed into a prime (10292647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19419 + ... + 19941.

It is an arithmetic number, because the mean of its divisors is an integer number (346626).

Almost surely, 2^10292640 is an apocalyptic number.

10292640 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 10292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638048).

10292640 is an abundant number, since it is smaller than the sum of its proper divisors (22983456).

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

10292640 is a wasteful number, since it uses less digits than its factorization.

10292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10292640 is about 3208.2144566721. The cubic root of 10292640 is about 217.5248749460.

The spelling of 10292640 in words is "ten million, two hundred ninety-two thousand, six hundred forty".