87736320 has 360 divisors, whose sum is σ = 368038944. Its totient is φ = 18874368.

The previous prime is 87736309. The next prime is 87736321. The reversal of 87736320 is 2363778.

It is a tau number, because it is divible by the number of its divisors (360).

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 (87736321) 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, 5160952 + ... + 5160968.

Almost surely, 2^87736320 is an apocalyptic number.

87736320 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 87736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019472).

87736320 is an abundant number, since it is smaller than the sum of its proper divisors (280302624).

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

87736320 is a wasteful number, since it uses less digits than its factorization.

87736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 87736320 is about 9366.7667847556. The cubic root of 87736320 is about 444.3513167839.

The spelling of 87736320 in words is "eighty-seven million, seven hundred thirty-six thousand, three hundred twenty".