10714320 has 120 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 2728704.

The previous prime is 10714289. The next prime is 10714337. The reversal of 10714320 is 2341701.

10714320 = T₃₂₉ + T₃₃₀ + ... + T₄₆₃.

10714320 = 34³ + 35³ + ... + 81³.

10714320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10714320² = 229593306124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10714293 and 10714302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16237 + ... + 16883.

Almost surely, 2^10714320 is an apocalyptic number.

10714320 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 10714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

10714320 is an abundant number, since it is smaller than the sum of its proper divisors (26890416).

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

10714320 is a wasteful number, since it uses less digits than its factorization.

10714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10714320 is about 3273.2735907651. The cubic root of 10714320 is about 220.4558043065.

The spelling of 10714320 in words is "ten million, seven hundred fourteen thousand, three hundred twenty".