981867600 has 360 divisors, whose sum is σ = 3981768960. Its totient is φ = 219386880.

The previous prime is 981867599. The next prime is 981867643. The reversal of 981867600 is 6768189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1183986 + ... + 1184814.

Almost surely, 2^981867600 is an apocalyptic number.

981867600 is a gapful number since it is divisible by the number (90) 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 981867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990884480).

981867600 is an abundant number, since it is smaller than the sum of its proper divisors (2999901360).

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

981867600 is a wasteful number, since it uses less digits than its factorization.

981867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 981867600 is about 31334.7666338845. The cubic root of 981867600 is about 993.9189626078.

The spelling of 981867600 in words is "nine hundred eighty-one million, eight hundred sixty-seven thousand, six hundred".