87903936 has 84 divisors (see below), whose sum is σ = 254623824. Its totient is φ = 28992000.

The previous prime is 87903931. The next prime is 87903967. The reversal of 87903936 is 63930978.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87903891 and 87903900.

It is not an unprimeable number, because it can be changed into a prime (87903931) 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 11 ways as a sum of consecutive naturals, for example, 57421 + ... + 58931.

It is an arithmetic number, because the mean of its divisors is an integer number (3031236).

Almost surely, 2^87903936 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 87903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

87903936 is an abundant number, since it is smaller than the sum of its proper divisors (166719888).

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

87903936 is a wasteful number, since it uses less digits than its factorization.

87903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 87903936 is about 9375.7098931228. The cubic root of 87903936 is about 444.6341073477.

The spelling of 87903936 in words is "eighty-seven million, nine hundred three thousand, nine hundred thirty-six".