90753642 has 32 divisors (see below), whose sum is σ = 230486400. Its totient is φ = 25929504.

The previous prime is 90753631. The next prime is 90753659. The reversal of 90753642 is 24635709.

90753642 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90753597 and 90753606.

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 15 ways as a sum of consecutive naturals, for example, 119667 + ... + 120422.

It is an arithmetic number, because the mean of its divisors is an integer number (7202700).

Almost surely, 2^90753642 is an apocalyptic number.

90753642 is an abundant number, since it is smaller than the sum of its proper divisors (139732758).

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

90753642 is a wasteful number, since it uses less digits than its factorization.

90753642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240107 (or 240101 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90753642 is about 9526.4705951365. The cubic root of 90753642 is about 449.3878788391.

The spelling of 90753642 in words is "ninety million, seven hundred fifty-three thousand, six hundred forty-two".