10188864 has 189 divisors, whose sum is σ = 35854767. Its totient is φ = 2757888.

The previous prime is 10188851. The next prime is 10188877. The reversal of 10188864 is 46888101.

The square root of 10188864 is 3192.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10188851) and next prime (10188877).

It is a super-2 number, since 2×10188864² = 207625899220992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536247 + ... + 536265.

Almost surely, 2^10188864 is an apocalyptic number.

10188864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10188864 is the 3192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10188864

10188864 is an abundant number, since it is smaller than the sum of its proper divisors (25665903).

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

10188864 is a wasteful number, since it uses less digits than its factorization.

10188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

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

The cubic root of 10188864 is about 216.7913360099.

Multiplying 10188864 by its sum of digits (36), we get a square (366799104 = 19152²).

10188864 divided by its sum of digits (36) gives a square (283024 = 532²).

The spelling of 10188864 in words is "ten million, one hundred eighty-eight thousand, eight hundred sixty-four".