87653280 has 192 divisors, whose sum is σ = 324632448. Its totient is φ = 19599360.

The previous prime is 87653243. The next prime is 87653281. The reversal of 87653280 is 8235678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87653281) 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, 68002 + ... + 69278.

It is an arithmetic number, because the mean of its divisors is an integer number (1690794).

Almost surely, 2^87653280 is an apocalyptic number.

87653280 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 87653280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162316224).

87653280 is an abundant number, since it is smaller than the sum of its proper divisors (236979168).

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

87653280 is a wasteful number, since it uses less digits than its factorization.

87653280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 87653280 is about 9362.3330425701. Note that the first 3 decimals coincide. The cubic root of 87653280 is about 444.2110837891.

The spelling of 87653280 in words is "eighty-seven million, six hundred fifty-three thousand, two hundred eighty".