87407040 has 112 divisors (see below), whose sum is σ = 317187072. Its totient is φ = 19977216.

The previous prime is 87407029. The next prime is 87407041. The reversal of 87407040 is 4070478.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87406989 and 87407007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87407041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 13223.

Almost surely, 2^87407040 is an apocalyptic number.

87407040 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 87407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158593536).

87407040 is an abundant number, since it is smaller than the sum of its proper divisors (229780032).

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

87407040 is a wasteful number, since it uses less digits than its factorization.

87407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 87407040 is about 9349.1732254783. The cubic root of 87407040 is about 443.7947269603.

The spelling of 87407040 in words is "eighty-seven million, four hundred seven thousand, forty".