87696030240 has 1920 divisors, whose sum is σ = 411615654912. Its totient is φ = 17079828480.

The previous prime is 87696030239. The next prime is 87696030251. The reversal of 87696030240 is 4203069678.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1437639810 + ... + 1437639870.

Almost surely, 2^87696030240 is an apocalyptic number.

87696030240 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 87696030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205807827456).

87696030240 is an abundant number, since it is smaller than the sum of its proper divisors (323919624672).

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

87696030240 is a wasteful number, since it uses less digits than its factorization.

87696030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 87696030240 in words is "eighty-seven billion, six hundred ninety-six million, thirty thousand, two hundred forty".