87766434 has 96 divisors (see below), whose sum is σ = 232901760. Its totient is φ = 23328000.

The previous prime is 87766433. The next prime is 87766439. The reversal of 87766434 is 43466778.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87766434.

It is not an unprimeable number, because it can be changed into a prime (87766433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145734 + ... + 146334.

It is an arithmetic number, because the mean of its divisors is an integer number (2426060).

Almost surely, 2^87766434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87766434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116450880).

87766434 is an abundant number, since it is smaller than the sum of its proper divisors (145135326).

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

87766434 is a wasteful number, since it uses less digits than its factorization.

87766434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 87766434 is about 9368.3741385579. The cubic root of 87766434 is about 444.4021496465.

The spelling of 87766434 in words is "eighty-seven million, seven hundred sixty-six thousand, four hundred thirty-four".