81078624 has 192 divisors, whose sum is σ = 272160000. Its totient is φ = 23224320.

The previous prime is 81078601. The next prime is 81078629. The reversal of 81078624 is 42687018.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81078629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180352 + ... + 180800.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^81078624 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 81078624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

81078624 is an abundant number, since it is smaller than the sum of its proper divisors (191081376).

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

81078624 is a wasteful number, since it uses less digits than its factorization.

81078624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81078624 is about 9004.3669405461. The cubic root of 81078624 is about 432.8148201790.

The spelling of 81078624 in words is "eighty-one million, seventy-eight thousand, six hundred twenty-four".