90810624 has 144 divisors (see below), whose sum is σ = 259604352. Its totient is φ = 28114944.

The previous prime is 90810623. The next prime is 90810631. The reversal of 90810624 is 42601809.

It is a junction number, because it is equal to n+sod(n) for n = 90810591 and 90810600.

It is not an unprimeable number, because it can be changed into a prime (90810623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936144 + ... + 936240.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808).

Almost surely, 2^90810624 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 90810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129802176).

90810624 is an abundant number, since it is smaller than the sum of its proper divisors (168793728).

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

90810624 is a wasteful number, since it uses less digits than its factorization.

90810624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 90810624 is about 9529.4608451895. The cubic root of 90810624 is about 449.4819123936.

The spelling of 90810624 in words is "ninety million, eight hundred ten thousand, six hundred twenty-four".