4087065600 has 528 divisors, whose sum is σ = 15402283040. Its totient is φ = 1074954240.

The previous prime is 4087065581. The next prime is 4087065617. The reversal of 4087065600 is 65607804.

It is a happy number.

4087065600 is a `hidden beast` number, since 40 + 8 + 7 + 0 + 6 + 5 + 600 = 666.

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

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, 55987164 + ... + 55987236.

Almost surely, 2^4087065600 is an apocalyptic number.

4087065600 is a gapful number since it is divisible by the number (40) 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 4087065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701141520).

4087065600 is an abundant number, since it is smaller than the sum of its proper divisors (11315217440).

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

4087065600 is an frugal number, since it uses more digits than its factorization.

4087065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4087065600 is about 63930.1618956186. The cubic root of 4087065600 is about 1598.8358197999.

The spelling of 4087065600 in words is "four billion, eighty-seven million, sixty-five thousand, six hundred".