87101644 has 48 divisors (see below), whose sum is σ = 182923776. Its totient is φ = 35481600.

The previous prime is 87101639. The next prime is 87101653. The reversal of 87101644 is 44610178.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135564 + ... + 136204.

It is an arithmetic number, because the mean of its divisors is an integer number (3810912).

Almost surely, 2^87101644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87101644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91461888).

87101644 is an abundant number, since it is smaller than the sum of its proper divisors (95822132).

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

87101644 is a wasteful number, since it uses less digits than its factorization.

87101644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 87101644 is about 9332.8261528864. The cubic root of 87101644 is about 443.2772580001.

The spelling of 87101644 in words is "eighty-seven million, one hundred one thousand, six hundred forty-four".