90629616 has 240 divisors, whose sum is σ = 309408768. Its totient is φ = 22579200.

The previous prime is 90629587. The next prime is 90629633. The reversal of 90629616 is 61692609.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801976 + ... + 802088.

Almost surely, 2^90629616 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 90629616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

90629616 is an abundant number, since it is smaller than the sum of its proper divisors (218779152).

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

90629616 is a wasteful number, since it uses less digits than its factorization.

90629616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 90629616 is about 9519.9588234404. The cubic root of 90629616 is about 449.1830709325.

The spelling of 90629616 in words is "ninety million, six hundred twenty-nine thousand, six hundred sixteen".