10705632 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3007488.

The previous prime is 10705627. The next prime is 10705661. The reversal of 10705632 is 23650701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10705632² = 229221113038848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59719 + ... + 59897.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^10705632 is an apocalyptic number.

10705632 is a gapful number since it is divisible by the number (12) 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 10705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10705632 is an abundant number, since it is smaller than the sum of its proper divisors (21953568).

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

10705632 is a wasteful number, since it uses less digits than its factorization.

10705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10705632 is about 3271.9462098268. The cubic root of 10705632 is about 220.3962006497.

The spelling of 10705632 in words is "ten million, seven hundred five thousand, six hundred thirty-two".