87751440 has 240 divisors, whose sum is σ = 351906048. Its totient is φ = 19160064.

The previous prime is 87751403. The next prime is 87751453. The reversal of 87751440 is 4415778.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 87751395 and 87751404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115542 + ... + 116298.

Almost surely, 2^87751440 is an apocalyptic number.

87751440 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 87751440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175953024).

87751440 is an abundant number, since it is smaller than the sum of its proper divisors (264154608).

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

87751440 is a wasteful number, since it uses less digits than its factorization.

87751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 87751440 is about 9367.5738587961. The cubic root of 87751440 is about 444.3768410138.

The spelling of 87751440 in words is "eighty-seven million, seven hundred fifty-one thousand, four hundred forty".