90149540 has 48 divisors (see below), whose sum is σ = 205811760. Its totient is φ = 32970240.

The previous prime is 90149503. The next prime is 90149551. The reversal of 90149540 is 4594109.

It can be written as a sum of positive squares in 8 ways, for example, as 14945956 + 75203584 = 3866^2 + 8672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90149497 and 90149506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26750 + ... + 29930.

It is an arithmetic number, because the mean of its divisors is an integer number (4287745).

Almost surely, 2^90149540 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 90149540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102905880).

90149540 is an abundant number, since it is smaller than the sum of its proper divisors (115662220).

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

90149540 is a wasteful number, since it uses less digits than its factorization.

90149540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 90149540 is about 9494.7111593771. The cubic root of 90149540 is about 448.3885407463.

The spelling of 90149540 in words is "ninety million, one hundred forty-nine thousand, five hundred forty".