1087187400 has 384 divisors, whose sum is σ = 4274726400. Its totient is φ = 251596800.

The previous prime is 1087187399. The next prime is 1087187407. The reversal of 1087187400 is 47817801.

1087187400 is a `hidden beast` number, since 108 + 71 + 87 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1087187407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1192945 + ... + 1193855.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^1087187400 is an apocalyptic number.

1087187400 is a gapful number since it is divisible by the number (10) 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 1087187400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

1087187400 is an abundant number, since it is smaller than the sum of its proper divisors (3187539000).

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

1087187400 is a wasteful number, since it uses less digits than its factorization.

1087187400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1087187400 is about 32972.5249260653. The cubic root of 1087187400 is about 1028.2565156976.

The spelling of 1087187400 in words is "one billion, eighty-seven million, one hundred eighty-seven thousand, four hundred".