87733440 has 168 divisors, whose sum is σ = 309542688. Its totient is φ = 22794240.

The previous prime is 87733423. The next prime is 87733463. The reversal of 87733440 is 4433778.

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

It is a junction number, because it is equal to n+sod(n) for n = 87733395 and 87733404.

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, 117709 + ... + 118451.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^87733440 is an apocalyptic number.

87733440 is a gapful number since it is divisible by the number (80) 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 87733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

87733440 is an abundant number, since it is smaller than the sum of its proper divisors (221809248).

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

87733440 is a wasteful number, since it uses less digits than its factorization.

87733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 87733440 is about 9366.6130484824. The cubic root of 87733440 is about 444.3464546934.

The spelling of 87733440 in words is "eighty-seven million, seven hundred thirty-three thousand, four hundred forty".