87484800 has 192 divisors, whose sum is σ = 310761360. Its totient is φ = 21504000.

The previous prime is 87484799. The next prime is 87484823. The reversal of 87484800 is 848478.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 124450 + ... + 125150.

Almost surely, 2^87484800 is an apocalyptic number.

87484800 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 87484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

87484800 is an abundant number, since it is smaller than the sum of its proper divisors (223276560).

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

87484800 is a wasteful number, since it uses less digits than its factorization.

87484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 87484800 is about 9353.3309574718. The cubic root of 87484800 is about 443.9262924477.

It can be divided in two parts, 8748 and 4800, that multiplied together give a square (41990400 = 6480²).

The spelling of 87484800 in words is "eighty-seven million, four hundred eighty-four thousand, eight hundred".