87074064 has 120 divisors (see below), whose sum is σ = 303855552. Its totient is φ = 22613760.

The previous prime is 87074059. The next prime is 87074069. The reversal of 87074064 is 46047078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87074059) and next prime (87074069).

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

It is not an unprimeable number, because it can be changed into a prime (87074069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7162 + ... + 15014.

Almost surely, 2^87074064 is an apocalyptic number.

87074064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87074064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151927776).

87074064 is an abundant number, since it is smaller than the sum of its proper divisors (216781488).

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

87074064 is a wasteful number, since it uses less digits than its factorization.

87074064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87074064 is about 9331.3484556092. The cubic root of 87074064 is about 443.2304663943.

The spelling of 87074064 in words is "eighty-seven million, seventy-four thousand, sixty-four".