92989440 has 144 divisors (see below), whose sum is σ = 322604100. Its totient is φ = 24772608.

The previous prime is 92989427. The next prime is 92989447. The reversal of 92989440 is 4498929.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 2663424 = 9504^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (92989447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91656 + ... + 92664.

Almost surely, 2^92989440 is an apocalyptic number.

92989440 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 92989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161302050).

92989440 is an abundant number, since it is smaller than the sum of its proper divisors (229614660).

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

92989440 is a wasteful number, since it uses less digits than its factorization.

92989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 92989440 is about 9643.1032349550. The cubic root of 92989440 is about 453.0483406741.

The spelling of 92989440 in words is "ninety-two million, nine hundred eighty-nine thousand, four hundred forty".