87246291600 has 360 divisors, whose sum is σ = 345241856232. Its totient is φ = 20212531200.

The previous prime is 87246291599. The next prime is 87246291623. The reversal of 87246291600 is 619264278.

It is a happy number.

87246291600 is a `hidden beast` number, since 8 + 7 + 2 + 4 + 629 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4143239424 + 83103052176 = 64368^2 + 288276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×87246291600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740770 + ... + 850430.

Almost surely, 2^87246291600 is an apocalyptic number.

87246291600 is a gapful number since it is divisible by the number (80) 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 87246291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172620928116).

87246291600 is an abundant number, since it is smaller than the sum of its proper divisors (257995564632).

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

87246291600 is a wasteful number, since it uses less digits than its factorization.

87246291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109715 (or 109701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87246291600 in words is "eighty-seven billion, two hundred forty-six million, two hundred ninety-one thousand, six hundred".