88541280 has 72 divisors (see below), whose sum is σ = 302152032. Its totient is φ = 23610624.

The previous prime is 88541267. The next prime is 88541293. The reversal of 88541280 is 8214588.

It is an interprime number because it is at equal distance from previous prime (88541267) and next prime (88541293).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29304 + ... + 32183.

It is an arithmetic number, because the mean of its divisors is an integer number (4196556).

Almost surely, 2^88541280 is an apocalyptic number.

88541280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88541280 is an abundant number, since it is smaller than the sum of its proper divisors (213610752).

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

88541280 is a wasteful number, since it uses less digits than its factorization.

88541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61508 (or 61497 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88541280 is about 9409.6376125757. The cubic root of 88541280 is about 445.7061212931.

The spelling of 88541280 in words is "eighty-eight million, five hundred forty-one thousand, two hundred eighty".