87154140 has 96 divisors (see below), whose sum is σ = 260064000. Its totient is φ = 21745152.

The previous prime is 87154139. The next prime is 87154141. The reversal of 87154140 is 4145178.

It is an interprime number because it is at equal distance from previous prime (87154139) and next prime (87154141).

It is a super-3 number, since 3×87154140³ (a number of 25 digits) contains 333 as substring.

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 = 87154098 and 87154107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87154141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101031 + ... + 101889.

It is an arithmetic number, because the mean of its divisors is an integer number (2709000).

Almost surely, 2^87154140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130032000).

87154140 is an abundant number, since it is smaller than the sum of its proper divisors (172909860).

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

87154140 is a wasteful number, since it uses less digits than its factorization.

87154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 87154140 is about 9335.6381677955. The cubic root of 87154140 is about 443.3662942435.

The spelling of 87154140 in words is "eighty-seven million, one hundred fifty-four thousand, one hundred forty".