91620419040 has 144 divisors (see below), whose sum is σ = 326248479648. Its totient is φ = 23369837568.

The previous prime is 91620419039. The next prime is 91620419041. The reversal of 91620419040 is 4091402619.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91620419039) and next prime (91620419041).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 91620418986 and 91620419004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91620419041) 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, 1350039 + ... + 1416278.

It is an arithmetic number, because the mean of its divisors is an integer number (2265614442).

Almost surely, 2^91620419040 is an apocalyptic number.

91620419040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91620419040 is an abundant number, since it is smaller than the sum of its proper divisors (234628060608).

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

91620419040 is a wasteful number, since it uses less digits than its factorization.

91620419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766361 (or 2766350 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 91620419040 in words is "ninety-one billion, six hundred twenty million, four hundred nineteen thousand, forty".