87201840 has 320 divisors, whose sum is σ = 327836160. Its totient is φ = 18923520.

The previous prime is 87201827. The next prime is 87201841. The reversal of 87201840 is 4810278.

87201840 = T₃₃₁ + T₃₃₂ + ... + T₈₂₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87201798 and 87201807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87201841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301487 + ... + 1301553.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^87201840 is an apocalyptic number.

87201840 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 87201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

87201840 is an abundant number, since it is smaller than the sum of its proper divisors (240634320).

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

87201840 is a wasteful number, since it uses less digits than its factorization.

87201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 87201840 is about 9338.1925445988. The cubic root of 87201840 is about 443.4471651968.

The spelling of 87201840 in words is "eighty-seven million, two hundred one thousand, eight hundred forty".