10149360 has 80 divisors (see below), whose sum is σ = 33893664. Its totient is φ = 2497536.

The previous prime is 10149353. The next prime is 10149407. The reversal of 10149360 is 6394101.

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

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 10149360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494 + ... + 4746.

Almost surely, 2^10149360 is an apocalyptic number.

10149360 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 10149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946832).

10149360 is an abundant number, since it is smaller than the sum of its proper divisors (23744304).

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

10149360 is a wasteful number, since it uses less digits than its factorization.

10149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10149360 is about 3185.8060204601. The cubic root of 10149360 is about 216.5107938729.

The spelling of 10149360 in words is "ten million, one hundred forty-nine thousand, three hundred sixty".