90413820 has 360 divisors, whose sum is σ = 354560976. Its totient is φ = 19160064.

The previous prime is 90413777. The next prime is 90413833. The reversal of 90413820 is 2831409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349427 + ... + 1349493.

Almost surely, 2^90413820 is an apocalyptic number.

90413820 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 90413820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177280488).

90413820 is an abundant number, since it is smaller than the sum of its proper divisors (264147156).

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

90413820 is a wasteful number, since it uses less digits than its factorization.

90413820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90413820 is about 9508.6181961419. The cubic root of 90413820 is about 448.8262745920.

The spelling of 90413820 in words is "ninety million, four hundred thirteen thousand, eight hundred twenty".