87943590 has 256 divisors, whose sum is σ = 294912000. Its totient is φ = 18195840.

The previous prime is 87943579. The next prime is 87943607. The reversal of 87943590 is 9534978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1113171 + ... + 1113249.

It is an arithmetic number, because the mean of its divisors is an integer number (1152000).

Almost surely, 2^87943590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87943590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456000).

87943590 is an abundant number, since it is smaller than the sum of its proper divisors (206968410).

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

87943590 is a wasteful number, since it uses less digits than its factorization.

87943590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 87943590 is about 9377.8243745551. The cubic root of 87943590 is about 444.7009563465.

The spelling of 87943590 in words is "eighty-seven million, nine hundred forty-three thousand, five hundred ninety".