10214640 has 80 divisors (see below), whose sum is σ = 35191200. Its totient is φ = 2723328.

The previous prime is 10214623. The next prime is 10214663. The reversal of 10214640 is 4641201.

10214640 is a `hidden beast` number, since 1 + 0 + 21 + 4 + 640 = 666.

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 (18).

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, 205 + ... + 4524.

It is an arithmetic number, because the mean of its divisors is an integer number (439890).

Almost surely, 2^10214640 is an apocalyptic number.

10214640 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 10214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595600).

10214640 is an abundant number, since it is smaller than the sum of its proper divisors (24976560).

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

10214640 is a wasteful number, since it uses less digits than its factorization.

10214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10214640 is about 3196.0350436126. The cubic root of 10214640 is about 216.9739964735.

Adding to 10214640 its reverse (4641201), we get a palindrome (14855841).

The spelling of 10214640 in words is "ten million, two hundred fourteen thousand, six hundred forty".