10461888 has 84 divisors (see below), whose sum is σ = 30787848. Its totient is φ = 3394560.

The previous prime is 10461887. The next prime is 10461889. The reversal of 10461888 is 88816401.

It is an interprime number because it is at equal distance from previous prime (10461887) and next prime (10461889).

It is a super-2 number, since 2×10461888² = 218902201049088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10461881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23395 + ... + 23837.

It is an arithmetic number, because the mean of its divisors is an integer number (366522).

Almost surely, 2^10461888 is an apocalyptic number.

10461888 is a gapful number since it is divisible by the number (18) 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 10461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393924).

10461888 is an abundant number, since it is smaller than the sum of its proper divisors (20325960).

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

10461888 is a wasteful number, since it uses less digits than its factorization.

10461888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10461888 is about 3234.4841938090. The cubic root of 10461888 is about 218.7106957411.

The spelling of 10461888 in words is "ten million, four hundred sixty-one thousand, eight hundred eighty-eight".