978514020 has 240 divisors, whose sum is σ = 3429252288. Its totient is φ = 231517440.

The previous prime is 978514013. The next prime is 978514049. The reversal of 978514020 is 20415879.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 765622 + ... + 766898.

Almost surely, 2^978514020 is an apocalyptic number.

978514020 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 978514020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714626144).

978514020 is an abundant number, since it is smaller than the sum of its proper divisors (2450738268).

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

978514020 is a wasteful number, since it uses less digits than its factorization.

978514020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 978514020 is about 31281.2087362365. The cubic root of 978514020 is about 992.7860913267.

Adding to 978514020 its reverse (20415879), we get a palindrome (998929899).

The spelling of 978514020 in words is "nine hundred seventy-eight million, five hundred fourteen thousand, twenty".