10671440 has 80 divisors (see below), whose sum is σ = 27664896. Its totient is φ = 3801600.

The previous prime is 10671433. The next prime is 10671469. The reversal of 10671440 is 4417601.

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

It is a super-2 number, since 2×10671440² = 227759263347200, which contains 22 as substring.

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, 32075 + ... + 32405.

Almost surely, 2^10671440 is an apocalyptic number.

10671440 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 10671440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832448).

10671440 is an abundant number, since it is smaller than the sum of its proper divisors (16993456).

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

10671440 is a wasteful number, since it uses less digits than its factorization.

10671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10671440 is about 3266.7170064149. The cubic root of 10671440 is about 220.1613141949.

It can be divided in two parts, 10671 and 440, that added together give a palindrome (11111).

The spelling of 10671440 in words is "ten million, six hundred seventy-one thousand, four hundred forty".