88206240 has 48 divisors (see below), whose sum is σ = 277851168. Its totient is φ = 23521536.

The previous prime is 88206233. The next prime is 88206247. The reversal of 88206240 is 4260288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88206233) and next prime (88206247).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88206198 and 88206207.

It is not an unprimeable number, because it can be changed into a prime (88206247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91402 + ... + 92361.

It is an arithmetic number, because the mean of its divisors is an integer number (5788566).

Almost surely, 2^88206240 is an apocalyptic number.

88206240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88206240 is an abundant number, since it is smaller than the sum of its proper divisors (189644928).

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

88206240 is a wasteful number, since it uses less digits than its factorization.

88206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183781 (or 183773 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 88206240 is about 9391.8177154372. The cubic root of 88206240 is about 445.1432270520.

The spelling of 88206240 in words is "eighty-eight million, two hundred six thousand, two hundred forty".