87357440 has 96 divisors (see below), whose sum is σ = 221130000. Its totient is φ = 33030144.

The previous prime is 87357433. The next prime is 87357463. The reversal of 87357440 is 4475378.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 87357394 and 87357403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194336 + ... + 194784.

Almost surely, 2^87357440 is an apocalyptic number.

87357440 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 87357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110565000).

87357440 is an abundant number, since it is smaller than the sum of its proper divisors (133772560).

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

87357440 is a wasteful number, since it uses less digits than its factorization.

87357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 87357440 is about 9346.5202080774. The cubic root of 87357440 is about 443.7107658230.

The spelling of 87357440 in words is "eighty-seven million, three hundred fifty-seven thousand, four hundred forty".