87746000 has 80 divisors (see below), whose sum is σ = 215434128. Its totient is φ = 34560000.

The previous prime is 87745961. The next prime is 87746051. The reversal of 87746000 is 64778.

It can be written as a sum of positive squares in 8 ways, for example, as 12334144 + 75411856 = 3512^2 + 8684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 145700 + ... + 146300.

Almost surely, 2^87746000 is an apocalyptic number.

87746000 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 87746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107717064).

87746000 is an abundant number, since it is smaller than the sum of its proper divisors (127688128).

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

87746000 is a wasteful number, since it uses less digits than its factorization.

87746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 87746000 is about 9367.2834909594. The cubic root of 87746000 is about 444.3676580307.

The spelling of 87746000 in words is "eighty-seven million, seven hundred forty-six thousand".