87279744 has 64 divisors (see below), whose sum is σ = 238141440. Its totient is φ = 28302336.

The previous prime is 87279739. The next prime is 87279769. The reversal of 87279744 is 44797278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 87279693 and 87279702.

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, 11137 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 2^87279744 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 87279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070720).

87279744 is an abundant number, since it is smaller than the sum of its proper divisors (150861696).

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

87279744 is a wasteful number, since it uses less digits than its factorization.

87279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6185 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 87279744 is about 9342.3628702807. The cubic root of 87279744 is about 443.5791808570.

The spelling of 87279744 in words is "eighty-seven million, two hundred seventy-nine thousand, seven hundred forty-four".