89462520 has 192 divisors, whose sum is σ = 336061440. Its totient is φ = 20217600.

The previous prime is 89462509. The next prime is 89462531. The reversal of 89462520 is 2526498.

It is a happy number.

89462520 is a `hidden beast` number, since 8 + 9 + 4 + 625 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (89462509) and next prime (89462531).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329985 + ... + 330255.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 2^89462520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89462520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

89462520 is an abundant number, since it is smaller than the sum of its proper divisors (246598920).

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

89462520 is a wasteful number, since it uses less digits than its factorization.

89462520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89462520 is about 9458.4628772333. The cubic root of 89462520 is about 447.2465945650.

The spelling of 89462520 in words is "eighty-nine million, four hundred sixty-two thousand, five hundred twenty".