87737040 has 160 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 23155200.

The previous prime is 87737033. The next prime is 87737047. The reversal of 87737040 is 4073778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87737033) and next prime (87737047).

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 = 87736986 and 87737004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87737047) 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, 326026 + ... + 326294.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^87737040 is an apocalyptic number.

87737040 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 87737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

87737040 is an abundant number, since it is smaller than the sum of its proper divisors (217600560).

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

87737040 is a wasteful number, since it uses less digits than its factorization.

87737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 87737040 is about 9366.8052184296. The cubic root of 87737040 is about 444.3525322900.

The spelling of 87737040 in words is "eighty-seven million, seven hundred thirty-seven thousand, forty".