90647040 has 320 divisors, whose sum is σ = 335871360. Its totient is φ = 20643840.

The previous prime is 90647033. The next prime is 90647041. The reversal of 90647040 is 4074609.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90646989 and 90647007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90647041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449902 + ... + 2449938.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^90647040 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 90647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

90647040 is an abundant number, since it is smaller than the sum of its proper divisors (245224320).

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

90647040 is a wasteful number, since it uses less digits than its factorization.

90647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 90647040 is about 9520.8739094686. The cubic root of 90647040 is about 449.2118549903.

The spelling of 90647040 in words is "ninety million, six hundred forty-seven thousand, forty".