87427440 has 120 divisors (see below), whose sum is σ = 303159168. Its totient is φ = 22556160.

The previous prime is 87427427. The next prime is 87427451. The reversal of 87427440 is 4472478.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 87427395 and 87427404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20362 + ... + 24278.

Almost surely, 2^87427440 is an apocalyptic number.

87427440 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 87427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151579584).

87427440 is an abundant number, since it is smaller than the sum of its proper divisors (215731728).

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

87427440 is a wasteful number, since it uses less digits than its factorization.

87427440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 87427440 is about 9350.2641673912. The cubic root of 87427440 is about 443.8292501451.

The spelling of 87427440 in words is "eighty-seven million, four hundred twenty-seven thousand, four hundred forty".