90147960 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 20309760.

The previous prime is 90147949. The next prime is 90147961. The reversal of 90147960 is 6974109.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90147961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208945 + ... + 209375.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^90147960 is an apocalyptic number.

90147960 is a gapful number since it is divisible by the number (90) 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 90147960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

90147960 is an abundant number, since it is smaller than the sum of its proper divisors (249507720).

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

90147960 is a wasteful number, since it uses less digits than its factorization.

90147960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90147960 is about 9494.6279547963. The cubic root of 90147960 is about 448.3859211802.

The spelling of 90147960 in words is "ninety million, one hundred forty-seven thousand, nine hundred sixty".