10465920 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 2635776.

The previous prime is 10465883. The next prime is 10465957. The reversal of 10465920 is 2956401.

10465920 is a `hidden beast` number, since 1 + 0 + 4 + 659 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10465883) and next prime (10465957).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132441 + ... + 132519.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^10465920 is an apocalyptic number.

10465920 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 10465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

10465920 is an abundant number, since it is smaller than the sum of its proper divisors (27722880).

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

10465920 is a wasteful number, since it uses less digits than its factorization.

10465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10465920 is about 3235.1074170729. The cubic root of 10465920 is about 218.7387890853.

The spelling of 10465920 in words is "ten million, four hundred sixty-five thousand, nine hundred twenty".