10661400 has 72 divisors (see below), whose sum is σ = 35810580. Its totient is φ = 2842560.

The previous prime is 10661389. The next prime is 10661401. The reversal of 10661400 is 416601.

10661400 is a `hidden beast` number, since 1 + 0 + 661 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10661400² = 227330899920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1162 + ... + 4761.

Almost surely, 2^10661400 is an apocalyptic number.

10661400 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 10661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905290).

10661400 is an abundant number, since it is smaller than the sum of its proper divisors (25149180).

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

10661400 is a wasteful number, since it uses less digits than its factorization.

10661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10661400 is about 3265.1799337862. The cubic root of 10661400 is about 220.0922478157.

The spelling of 10661400 in words is "ten million, six hundred sixty-one thousand, four hundred".