87575040 has 320 divisors, whose sum is σ = 357477120. Its totient is φ = 19906560.

The previous prime is 87575039. The next prime is 87575051. The reversal of 87575040 is 4057578.

87575040 is a `hidden beast` number, since 87 + 575 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 87574986 and 87575004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483750 + ... + 483930.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^87575040 is an apocalyptic number.

87575040 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 87575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

87575040 is an abundant number, since it is smaller than the sum of its proper divisors (269902080).

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

87575040 is a wasteful number, since it uses less digits than its factorization.

87575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87575040 is about 9358.1536640515. The cubic root of 87575040 is about 444.0788756876.

The spelling of 87575040 in words is "eighty-seven million, five hundred seventy-five thousand, forty".