10049580 has 72 divisors (see below), whose sum is σ = 31484544. Its totient is φ = 2592000.

The previous prime is 10049579. The next prime is 10049581. The reversal of 10049580 is 8594001.

It is an interprime number because it is at equal distance from previous prime (10049579) and next prime (10049581).

It is not an unprimeable number, because it can be changed into a prime (10049581) 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, 4680 + ... + 6480.

Almost surely, 2^10049580 is an apocalyptic number.

10049580 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 10049580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742272).

10049580 is an abundant number, since it is smaller than the sum of its proper divisors (21434964).

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

10049580 is a wasteful number, since it uses less digits than its factorization.

10049580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10049580 is about 3170.1072537061. The cubic root of 10049580 is about 215.7989384162.

The spelling of 10049580 in words is "ten million, forty-nine thousand, five hundred eighty".