90405630 has 48 divisors (see below), whose sum is σ = 268635744. Its totient is φ = 20664000.

The previous prime is 90405619. The next prime is 90405647. The reversal of 90405630 is 3650409.

It is a happy number.

It is a super-3 number, since 3×90405630³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90405594 and 90405603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71121 + ... + 72380.

It is an arithmetic number, because the mean of its divisors is an integer number (5596578).

Almost surely, 2^90405630 is an apocalyptic number.

90405630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90405630 is an abundant number, since it is smaller than the sum of its proper divisors (178230114).

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

90405630 is a wasteful number, since it uses less digits than its factorization.

90405630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143521 (or 143518 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90405630 is about 9508.1875244444. The cubic root of 90405630 is about 448.8127220983.

The spelling of 90405630 in words is "ninety million, four hundred five thousand, six hundred thirty".