1087094400 has 288 divisors, whose sum is σ = 4167010080. Its totient is φ = 248371200.

The previous prime is 1087094399. The next prime is 1087094401. The reversal of 1087094400 is 44907801.

It is an interprime number because it is at equal distance from previous prime (1087094399) and next prime (1087094401).

It is a super-2 number, since 2×1087094400² = 2363548469022720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1087094401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469245 + ... + 471555.

It is an arithmetic number, because the mean of its divisors is an integer number (14468785).

Almost surely, 2^1087094400 is an apocalyptic number.

1087094400 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 1087094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083505040).

1087094400 is an abundant number, since it is smaller than the sum of its proper divisors (3079915680).

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

1087094400 is a wasteful number, since it uses less digits than its factorization.

1087094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1087094400 is about 32971.1146308401. The cubic root of 1087094400 is about 1028.2271952135.

The spelling of 1087094400 in words is "one billion, eighty-seven million, ninety-four thousand, four hundred".