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88640 = 265277
BaseRepresentation
bin10101101001000000
311111120222
4111221000
510314030
61522212
7516266
oct255100
9144528
1088640
1160662
1243368
1331466
1424436
151b3e5
hex15a40

88640 has 28 divisors (see below), whose sum is σ = 211836. Its totient is φ = 35328.

The previous prime is 88609. The next prime is 88643. The reversal of 88640 is 4688.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 65536 = 152^2 + 256^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88643) by changing a digit.

88640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 458.

288640 is an apocalyptic number.

88640 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 88640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105918).

88640 is an abundant number, since it is smaller than the sum of its proper divisors (123196).

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

88640 is a wasteful number, since it uses less digits than its factorization.

88640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 88640 is about 297.7247050549. The cubic root of 88640 is about 44.5871707957.

The spelling of 88640 in words is "eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 277 320 554 1108 1385 2216 2770 4432 5540 8864 11080 17728 22160 44320 88640