10455642 has 40 divisors (see below), whose sum is σ = 23613876. Its totient is φ = 3457728.

The previous prime is 10455637. The next prime is 10455647. The reversal of 10455642 is 24655401.

10455642 is a `hidden beast` number, since 10 + 4 + 5 + 5 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (10455637) and next prime (10455647).

It can be written as a sum of positive squares in 2 ways, for example, as 9308601 + 1147041 = 3051^2 + 1071^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10455647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37608 + ... + 37884.

Almost surely, 2^10455642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806938).

10455642 is an abundant number, since it is smaller than the sum of its proper divisors (13158234).

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

10455642 is a wasteful number, since it uses less digits than its factorization.

10455642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 10455642 is about 3233.5185170337. The cubic root of 10455642 is about 218.6671618858.

The spelling of 10455642 in words is "ten million, four hundred fifty-five thousand, six hundred forty-two".