87503360 has 160 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 28311552.

The previous prime is 87503357. The next prime is 87503363. The reversal of 87503360 is 6330578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87503357) and next prime (87503363).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×87503360² = 15313676022579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87503363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340352 + ... + 340608.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 2^87503360 is an apocalyptic number.

87503360 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 87503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

87503360 is an abundant number, since it is smaller than the sum of its proper divisors (165873280).

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

87503360 is a wasteful number, since it uses less digits than its factorization.

87503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 87503360 is about 9354.3230647653. The cubic root of 87503360 is about 443.9576833842.

The spelling of 87503360 in words is "eighty-seven million, five hundred three thousand, three hundred sixty".