10058240 has 40 divisors (see below), whose sum is σ = 24122340. Its totient is φ = 4022272.

The previous prime is 10058233. The next prime is 10058249. The reversal of 10058240 is 4285001.

It can be written as a sum of positive squares in 2 ways, for example, as 9339136 + 719104 = 3056^2 + 848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10058249) 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, 596 + ... + 4524.

Almost surely, 2^10058240 is an apocalyptic number.

10058240 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 10058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061170).

10058240 is an abundant number, since it is smaller than the sum of its proper divisors (14064100).

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

10058240 is an frugal number, since it uses more digits than its factorization.

10058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10058240 is about 3171.4728439638. The cubic root of 10058240 is about 215.8609072500.

The spelling of 10058240 in words is "ten million, fifty-eight thousand, two hundred forty".