90942840 has 192 divisors, whose sum is σ = 316742400. Its totient is φ = 22579200.

The previous prime is 90942829. The next prime is 90942847. The reversal of 90942840 is 4824909.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 90942795 and 90942804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90942847) 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, 323500 + ... + 323780.

It is an arithmetic number, because the mean of its divisors is an integer number (1649700).

Almost surely, 2^90942840 is an apocalyptic number.

90942840 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 90942840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158371200).

90942840 is an abundant number, since it is smaller than the sum of its proper divisors (225799560).

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

90942840 is a wasteful number, since it uses less digits than its factorization.

90942840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90942840 is about 9536.3955454878. The cubic root of 90942840 is about 449.6999481234.

The spelling of 90942840 in words is "ninety million, nine hundred forty-two thousand, eight hundred forty".