87953850 has 168 divisors, whose sum is σ = 260221440. Its totient is φ = 22044960.

The previous prime is 87953819. The next prime is 87953861. The reversal of 87953850 is 5835978.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87953796 and 87953805.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 692487 + ... + 692613.

Almost surely, 2^87953850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87953850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130110720).

87953850 is an abundant number, since it is smaller than the sum of its proper divisors (172267590).

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

87953850 is a wasteful number, since it uses less digits than its factorization.

87953850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 87953850 is about 9378.3713937975. The cubic root of 87953850 is about 444.7182494560.

The spelling of 87953850 in words is "eighty-seven million, nine hundred fifty-three thousand, eight hundred fifty".