87416070 has 64 divisors (see below), whose sum is σ = 240523776. Its totient is φ = 19918080.

The previous prime is 87416053. The next prime is 87416071. The reversal of 87416070 is 7061478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87416071) 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, 114490 + ... + 115250.

It is an arithmetic number, because the mean of its divisors is an integer number (3758184).

Almost surely, 2^87416070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87416070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120261888).

87416070 is an abundant number, since it is smaller than the sum of its proper divisors (153107706).

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

87416070 is a wasteful number, since it uses less digits than its factorization.

87416070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 87416070 is about 9349.6561434098. The cubic root of 87416070 is about 443.8100092091.

The spelling of 87416070 in words is "eighty-seven million, four hundred sixteen thousand, seventy".