10291440 has 80 divisors (see below), whose sum is σ = 32239008. Its totient is φ = 2715648.

The previous prime is 10291427. The next prime is 10291441. The reversal of 10291440 is 4419201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10291441) 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, 32724 + ... + 33036.

Almost surely, 2^10291440 is an apocalyptic number.

10291440 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 10291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119504).

10291440 is an abundant number, since it is smaller than the sum of its proper divisors (21947568).

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

10291440 is a wasteful number, since it uses less digits than its factorization.

10291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10291440 is about 3208.0274313042. The cubic root of 10291440 is about 217.5164210088.

It can be divided in two parts, 10291 and 440, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10291440 in words is "ten million, two hundred ninety-one thousand, four hundred forty".