1866400896 has 256 divisors, whose sum is σ = 5509468800. Its totient is φ = 557383680.

The previous prime is 1866400871. The next prime is 1866400897. The reversal of 1866400896 is 6980046681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1866400897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17122890 + ... + 17122998.

Almost surely, 2^1866400896 is an apocalyptic number.

1866400896 is a gapful number since it is divisible by the number (16) 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 1866400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754734400).

1866400896 is an abundant number, since it is smaller than the sum of its proper divisors (3643067904).

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

1866400896 is a wasteful number, since it uses less digits than its factorization.

1866400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1866400896 is about 43201.8621820865. The cubic root of 1866400896 is about 1231.2180623150.

The spelling of 1866400896 in words is "one billion, eight hundred sixty-six million, four hundred thousand, eight hundred ninety-six".