90147750 has 192 divisors, whose sum is σ = 286820352. Its totient is φ = 18648000.

The previous prime is 90147749. The next prime is 90147751. The reversal of 90147750 is 5774109.

It is an interprime number because it is at equal distance from previous prime (90147749) and next prime (90147751).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90147751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404139 + ... + 404361.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^90147750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90147750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

90147750 is an abundant number, since it is smaller than the sum of its proper divisors (196672602).

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

90147750 is a wasteful number, since it uses less digits than its factorization.

90147750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 90147750 is about 9494.6168959048. The cubic root of 90147750 is about 448.3855730078.

The spelling of 90147750 in words is "ninety million, one hundred forty-seven thousand, seven hundred fifty".