1061666400 has 144 divisors (see below), whose sum is σ = 3477058704. Its totient is φ = 281364480.

The previous prime is 1061666377. The next prime is 1061666461. The reversal of 1061666400 is 46661601.

It is a super-2 number, since 2×1061666400² = 2254271089777920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413922 + ... + 416478.

It is an arithmetic number, because the mean of its divisors is an integer number (24146241).

Almost surely, 2^1061666400 is an apocalyptic number.

1061666400 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 1061666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738529352).

1061666400 is an abundant number, since it is smaller than the sum of its proper divisors (2415392304).

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

1061666400 is a wasteful number, since it uses less digits than its factorization.

1061666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1061666400 is about 32583.2226767089. Note that the first 3 decimals coincide. The cubic root of 1061666400 is about 1020.1468454480.

The spelling of 1061666400 in words is "one billion, sixty-one million, six hundred sixty-six thousand, four hundred".