10454640 has 160 divisors (see below), whose sum is σ = 38092800. Its totient is φ = 2370816.

The previous prime is 10454629. The next prime is 10454641. The reversal of 10454640 is 4645401.

10454640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 10454640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82257 + ... + 82383.

It is an arithmetic number, because the mean of its divisors is an integer number (238080).

Almost surely, 2^10454640 is an apocalyptic number.

10454640 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 10454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046400).

10454640 is an abundant number, since it is smaller than the sum of its proper divisors (27638160).

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

10454640 is a wasteful number, since it uses less digits than its factorization.

10454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10454640 is about 3233.3635737417. The cubic root of 10454640 is about 218.6601764549.

The spelling of 10454640 in words is "ten million, four hundred fifty-four thousand, six hundred forty".