1966868624 has 60 divisors (see below), whose sum is σ = 4585895100. Its totient is φ = 813867264.

The previous prime is 1966868623. The next prime is 1966868641. The reversal of 1966868624 is 4268686691.

It can be written as a sum of positive squares in 2 ways, for example, as 730080400 + 1236788224 = 27020^2 + 35168^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1966868624.

It is not an unprimeable number, because it can be changed into a prime (1966868623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20519 + ... + 65990.

It is an arithmetic number, because the mean of its divisors is an integer number (76431585).

Almost surely, 2^1966868624 is an apocalyptic number.

1966868624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1966868624 is an abundant number, since it is smaller than the sum of its proper divisors (2619026476).

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

1966868624 is a wasteful number, since it uses less digits than its factorization.

1966868624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86560 (or 86547 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 1966868624 is about 44349.3926001248. The cubic root of 1966868624 is about 1252.9251227063.

The spelling of 1966868624 in words is "one billion, nine hundred sixty-six million, eight hundred sixty-eight thousand, six hundred twenty-four".