46098624 has 224 divisors, whose sum is σ = 151570944. Its totient is φ = 12165120.

The previous prime is 46098593. The next prime is 46098659. The reversal of 46098624 is 42689064.

46098624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631452 + ... + 631524.

It is an arithmetic number, because the mean of its divisors is an integer number (676656).

Almost surely, 2^46098624 is an apocalyptic number.

46098624 is a gapful number since it is divisible by the number (44) 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 46098624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785472).

46098624 is an abundant number, since it is smaller than the sum of its proper divisors (105472320).

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

46098624 is a wasteful number, since it uses less digits than its factorization.

46098624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 46098624 is about 6789.5967479667. The cubic root of 46098624 is about 358.5606728035.

The spelling of 46098624 in words is "forty-six million, ninety-eight thousand, six hundred twenty-four".