87033408 has 252 divisors, whose sum is σ = 302648112. Its totient is φ = 21826560.

The previous prime is 87033407. The next prime is 87033409. The reversal of 87033408 is 80433078.

It is an interprime number because it is at equal distance from previous prime (87033407) and next prime (87033409).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (87033407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3001138 + ... + 3001166.

Almost surely, 2^87033408 is an apocalyptic number.

87033408 is a gapful number since it is divisible by the number (88) 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 87033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151324056).

87033408 is an abundant number, since it is smaller than the sum of its proper divisors (215614704).

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

87033408 is a wasteful number, since it uses less digits than its factorization.

87033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 87033408 is about 9329.1697379778. The cubic root of 87033408 is about 443.1614723206.

Multiplying 87033408 by its sum of digits (33), we get a square (2872102464 = 53592²).

87033408 divided by its sum of digits (33) gives a square (2637376 = 1624²).

The spelling of 87033408 in words is "eighty-seven million, thirty-three thousand, four hundred eight".