90577890 has 48 divisors (see below), whose sum is σ = 253621368. Its totient is φ = 22295808.

The previous prime is 90577871. The next prime is 90577913. The reversal of 90577890 is 9877509.

It can be written as a sum of positive squares in 4 ways, for example, as 55756089 + 34821801 = 7467^2 + 5901^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 37539 + ... + 39878.

Almost surely, 2^90577890 is an apocalyptic number.

90577890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90577890 is an abundant number, since it is smaller than the sum of its proper divisors (163043478).

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

90577890 is a wasteful number, since it uses less digits than its factorization.

90577890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77443 (or 77440 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 90577890 is about 9517.2417222639. The cubic root of 90577890 is about 449.0975990002.

The spelling of 90577890 in words is "ninety million, five hundred seventy-seven thousand, eight hundred ninety".