87246793008 has 160 divisors (see below), whose sum is σ = 252097208000. Its totient is φ = 28889395200.

The previous prime is 87246793003. The next prime is 87246793013. The reversal of 87246793008 is 80039764278.

It is an interprime number because it is at equal distance from previous prime (87246793003) and next prime (87246793013).

It is a super-2 number, since 2×87246793008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87246793003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56323818 + ... + 56325366.

It is an arithmetic number, because the mean of its divisors is an integer number (1575607550).

Almost surely, 2^87246793008 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 87246793008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048604000).

87246793008 is an abundant number, since it is smaller than the sum of its proper divisors (164850414992).

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

87246793008 is a wasteful number, since it uses less digits than its factorization.

87246793008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 87246793008 in words is "eighty-seven billion, two hundred forty-six million, seven hundred ninety-three thousand, eight".