1966390336 has 63 divisors (see below), whose sum is σ = 4096082613. Its totient is φ = 936545280.

The previous prime is 1966390331. The next prime is 1966390367. The reversal of 1966390336 is 6330936691.

The square root of 1966390336 is 44344.

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

It can be written as a sum of positive squares in only one way, i.e., 1478863936 + 487526400 = 38456^2 + 22080^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1966390331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8159176 + ... + 8159416.

Almost surely, 2^1966390336 is an apocalyptic number.

1966390336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1966390336 is the 44344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966390336

1966390336 is an abundant number, since it is smaller than the sum of its proper divisors (2129692277).

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

1966390336 is an frugal number, since it uses more digits than its factorization.

1966390336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 46.

The cubic root of 1966390336 is about 1252.8235555715.

The spelling of 1966390336 in words is "one billion, nine hundred sixty-six million, three hundred ninety thousand, three hundred thirty-six".