10374144 has 88 divisors (see below), whose sum is σ = 30262848. Its totient is φ = 3133440.

The previous prime is 10374139. The next prime is 10374187. The reversal of 10374144 is 44147301.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×10374144³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33639 + ... + 33945.

It is an arithmetic number, because the mean of its divisors is an integer number (343896).

Almost surely, 2^10374144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131424).

10374144 is an abundant number, since it is smaller than the sum of its proper divisors (19888704).

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

10374144 is a wasteful number, since it uses less digits than its factorization.

10374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10374144 is about 3220.8918019704. The cubic root of 10374144 is about 218.0975351226.

It can be divided in two parts, 10374 and 144, that multiplied together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 10374144 in words is "ten million, three hundred seventy-four thousand, one hundred forty-four".