87400768 has 112 divisors (see below), whose sum is σ = 219049600. Its totient is φ = 33675264.

The previous prime is 87400727. The next prime is 87400769. The reversal of 87400768 is 86700478.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 87400768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87400769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250258 + ... + 250606.

It is an arithmetic number, because the mean of its divisors is an integer number (1955800).

Almost surely, 2^87400768 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 87400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109524800).

87400768 is an abundant number, since it is smaller than the sum of its proper divisors (131648832).

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

87400768 is a wasteful number, since it uses less digits than its factorization.

87400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 87400768 is about 9348.8377887307. The cubic root of 87400768 is about 443.7841116937.

The spelling of 87400768 in words is "eighty-seven million, four hundred thousand, seven hundred sixty-eight".