90763140 has 72 divisors (see below), whose sum is σ = 275220288. Its totient is φ = 22339200.

The previous prime is 90763139. The next prime is 90763147. The reversal of 90763140 is 4136709.

It is a happy number.

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 = 90763098 and 90763107.

It is not an unprimeable number, because it can be changed into a prime (90763147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5665 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (3822504).

Almost surely, 2^90763140 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 90763140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610144).

90763140 is an abundant number, since it is smaller than the sum of its proper divisors (184457148).

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

90763140 is a wasteful number, since it uses less digits than its factorization.

90763140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90763140 is about 9526.9690878054. The cubic root of 90763140 is about 449.4035554815.

Adding to 90763140 its reverse (4136709), we get a palindrome (94899849).

It can be divided in two parts, 90 and 763140, that added together give a triangular number (763230 = T₁₂₃₅).

The spelling of 90763140 in words is "ninety million, seven hundred sixty-three thousand, one hundred forty".