87199640 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 31162240.

The previous prime is 87199627. The next prime is 87199643. The reversal of 87199640 is 4699178.

It is a super-2 number, since 2×87199640² = 15207554432259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 87199591 and 87199600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87199643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24281 + ... + 27639.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^87199640 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 87199640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

87199640 is an abundant number, since it is smaller than the sum of its proper divisors (130528360).

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

87199640 is a wasteful number, since it uses less digits than its factorization.

87199640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 87199640 is about 9338.0747480409. The cubic root of 87199640 is about 443.4434359484.

The spelling of 87199640 in words is "eighty-seven million, one hundred ninety-nine thousand, six hundred forty".