87414768 has 160 divisors (see below), whose sum is σ = 290219520. Its totient is φ = 24675840.

The previous prime is 87414739. The next prime is 87414773. The reversal of 87414768 is 86741478.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414183 + ... + 414393.

It is an arithmetic number, because the mean of its divisors is an integer number (1813872).

Almost surely, 2^87414768 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 87414768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145109760).

87414768 is an abundant number, since it is smaller than the sum of its proper divisors (202804752).

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

87414768 is a wasteful number, since it uses less digits than its factorization.

87414768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 87414768 is about 9349.5865149214. The cubic root of 87414768 is about 443.8078057870.

The spelling of 87414768 in words is "eighty-seven million, four hundred fourteen thousand, seven hundred sixty-eight".