90607776 has 96 divisors (see below), whose sum is σ = 274538880. Its totient is φ = 25629696.

The previous prime is 90607771. The next prime is 90607813. The reversal of 90607776 is 67770609.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90607771) 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, 72630 + ... + 73866.

It is an arithmetic number, because the mean of its divisors is an integer number (2859780).

Almost surely, 2^90607776 is an apocalyptic number.

90607776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90607776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137269440).

90607776 is an abundant number, since it is smaller than the sum of its proper divisors (183931104).

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

90607776 is a wasteful number, since it uses less digits than its factorization.

90607776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 90607776 is about 9518.8116905421. The cubic root of 90607776 is about 449.1469865309.

It can be divided in two parts, 9060 and 7776, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 90607776 in words is "ninety million, six hundred seven thousand, seven hundred seventy-six".