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87616 = 26372
BaseRepresentation
bin10101011001000000
311110012001
4111121000
510300431
61513344
7513304
oct253100
9143161
1087616
115a911
1242854
1330b59
1423d04
151ae61
hex15640

87616 has 21 divisors (see below), whose sum is σ = 178689. Its totient is φ = 42624.

The previous prime is 87613. The next prime is 87623. The reversal of 87616 is 61678.

It can be divided in two parts, 87 and 616, that added together give a triangular number (703 = T37).

87616 = T295 + T296.

The square root of 87616 is 296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 9216 = 280^2 + 96^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87613) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2350 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (8509).

287616 is an apocalyptic number.

87616 is the 296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87616

87616 is an abundant number, since it is smaller than the sum of its proper divisors (91073).

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

87616 is an equidigital number, since it uses as much as digits as its factorization.

87616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The cubic root of 87616 is about 44.4148098743.

The spelling of 87616 in words is "eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5476 10952 21904 43808 87616