87433416 has 96 divisors (see below), whose sum is σ = 272026560. Its totient is φ = 24852096.

The previous prime is 87433403. The next prime is 87433427. The reversal of 87433416 is 61433478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142326 + ... + 142938.

It is an arithmetic number, because the mean of its divisors is an integer number (2833610).

Almost surely, 2^87433416 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 87433416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136013280).

87433416 is an abundant number, since it is smaller than the sum of its proper divisors (184593144).

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

87433416 is a wasteful number, since it uses less digits than its factorization.

87433416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 908 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 87433416 is about 9350.5837250944. The cubic root of 87433416 is about 443.8393623905.

The spelling of 87433416 in words is "eighty-seven million, four hundred thirty-three thousand, four hundred sixteen".