1087461504 has 128 divisors (see below), whose sum is σ = 3378648000. Its totient is φ = 343388160.

The previous prime is 1087461497. The next prime is 1087461511. The reversal of 1087461504 is 4051647801.

It is a happy number.

1087461504 is a `hidden beast` number, since 10 + 87 + 4 + 61 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (1087461497) and next prime (1087461511).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57384 + ... + 73944.

Almost surely, 2^1087461504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689324000).

1087461504 is an abundant number, since it is smaller than the sum of its proper divisors (2291186496).

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

1087461504 is a wasteful number, since it uses less digits than its factorization.

1087461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16603 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1087461504 is about 32976.6812156712. The cubic root of 1087461504 is about 1028.3429238429.

The spelling of 1087461504 in words is "one billion, eighty-seven million, four hundred sixty-one thousand, five hundred four".