87742440 has 256 divisors, whose sum is σ = 318816000. Its totient is φ = 21648384.

The previous prime is 87742393. The next prime is 87742469. The reversal of 87742440 is 4424778.

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 = 87742395 and 87742404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1487131 + ... + 1487189.

It is an arithmetic number, because the mean of its divisors is an integer number (1245375).

Almost surely, 2^87742440 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 87742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159408000).

87742440 is an abundant number, since it is smaller than the sum of its proper divisors (231073560).

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

87742440 is a wasteful number, since it uses less digits than its factorization.

87742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 87742440 is about 9367.0934659584. The cubic root of 87742440 is about 444.3616483731.

The spelling of 87742440 in words is "eighty-seven million, seven hundred forty-two thousand, four hundred forty".