89919460 has 72 divisors (see below), whose sum is σ = 205478784. Its totient is φ = 33031680.

The previous prime is 89919451. The next prime is 89919469. The reversal of 89919460 is 6491998.

89919460 = T₇₇₄₁ + T₇₇₄₂ + T₇₇₄₃.

It is an interprime number because it is at equal distance from previous prime (89919451) and next prime (89919469).

It is a self number, because there is not a number n which added to its sum of digits gives 89919460.

It is not an unprimeable number, because it can be changed into a prime (89919469) 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, 271495 + ... + 271825.

It is an arithmetic number, because the mean of its divisors is an integer number (2853872).

Almost surely, 2^89919460 is an apocalyptic number.

89919460 is the 7743-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89919460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102739392).

89919460 is an abundant number, since it is smaller than the sum of its proper divisors (115559324).

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

89919460 is a wasteful number, since it uses less digits than its factorization.

89919460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 89919460 is about 9482.5871997045. The cubic root of 89919460 is about 448.0067561162.

The spelling of 89919460 in words is "eighty-nine million, nine hundred nineteen thousand, four hundred sixty".