1661466240 has 384 divisors, whose sum is σ = 6644851200. Its totient is φ = 374685696.

The previous prime is 1661466217. The next prime is 1661466259. The reversal of 1661466240 is 426641661.

1661466240 is a `hidden beast` number, since 16 + 6 + 14 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1661466195 and 1661466204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3588249 + ... + 3588711.

It is an arithmetic number, because the mean of its divisors is an integer number (17304300).

Almost surely, 2^1661466240 is an apocalyptic number.

1661466240 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 1661466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322425600).

1661466240 is an abundant number, since it is smaller than the sum of its proper divisors (4983384960).

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

1661466240 is a wasteful number, since it uses less digits than its factorization.

1661466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1661466240 is about 40761.0873260270. The cubic root of 1661466240 is about 1184.3966591603.

The spelling of 1661466240 in words is "one billion, six hundred sixty-one million, four hundred sixty-six thousand, two hundred forty".