87641840 has 160 divisors (see below), whose sum is σ = 245984256. Its totient is φ = 28615680.

The previous prime is 87641837. The next prime is 87641843. The reversal of 87641840 is 4814678.

It is an interprime number because it is at equal distance from previous prime (87641837) and next prime (87641843).

It is a junction number, because it is equal to n+sod(n) for n = 87641794 and 87641803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87641843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537599 + ... + 537761.

Almost surely, 2^87641840 is an apocalyptic number.

87641840 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 87641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992128).

87641840 is an abundant number, since it is smaller than the sum of its proper divisors (158342416).

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

87641840 is a wasteful number, since it uses less digits than its factorization.

87641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 87641840 is about 9361.7220638086. The cubic root of 87641840 is about 444.1917576596.

The spelling of 87641840 in words is "eighty-seven million, six hundred forty-one thousand, eight hundred forty".