81677124 has 72 divisors (see below), whose sum is σ = 222462240. Its totient is φ = 25183872.

The previous prime is 81677111. The next prime is 81677131. The reversal of 81677124 is 42177618.

It is a super-2 number, since 2×81677124² = 13342305169822752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28024 + ... + 30800.

Almost surely, 2^81677124 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 81677124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111231120).

81677124 is an abundant number, since it is smaller than the sum of its proper divisors (140785116).

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

81677124 is a wasteful number, since it uses less digits than its factorization.

81677124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2844 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 81677124 is about 9037.5397094563. The cubic root of 81677124 is about 433.8771835649.

The spelling of 81677124 in words is "eighty-one million, six hundred seventy-seven thousand, one hundred twenty-four".