87269280 has 192 divisors, whose sum is σ = 330946560. Its totient is φ = 18883584.

The previous prime is 87269263. The next prime is 87269293. The reversal of 87269280 is 8296278.

It is a happy number.

It is a super-3 number, since 3×87269280³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 63157 + ... + 64523.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^87269280 is an apocalyptic number.

87269280 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 87269280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

87269280 is an abundant number, since it is smaller than the sum of its proper divisors (243677280).

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

87269280 is a wasteful number, since it uses less digits than its factorization.

87269280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87269280 is about 9341.8028238665. The cubic root of 87269280 is about 443.5614531926.

The spelling of 87269280 in words is "eighty-seven million, two hundred sixty-nine thousand, two hundred eighty".