1087257600 has 792 divisors, whose sum is σ = 4726277360. Its totient is φ = 243302400.

The previous prime is 1087257599. The next prime is 1087257601. The reversal of 1087257600 is 67527801.

1087257600 is a `hidden beast` number, since 1 + 0 + 87 + 2 + 576 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1087257599) and next prime (1087257601).

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087257601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83635194 + ... + 83635206.

Almost surely, 2^1087257600 is an apocalyptic number.

1087257600 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 1087257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363138680).

1087257600 is an abundant number, since it is smaller than the sum of its proper divisors (3639019760).

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

1087257600 is a wasteful number, since it uses less digits than its factorization.

1087257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1087257600 is about 32973.5894315435. The cubic root of 1087257600 is about 1028.2786468266.

The spelling of 1087257600 in words is "one billion, eighty-seven million, two hundred fifty-seven thousand, six hundred".